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Equivalent expression calculator with exponents?
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Equivalent expression calculator with exponents?
You will master the exponent properties and algebra skills in no time. An expression with a rational exponent 20 is equivalent to a radical where the denominator is the index and the numerator is the exponent All the rules of exponents apply to expressions with rational exponents Use a calculator to approximate an answer rounded to the nearest hundredth. Addition of Numbers Calculator. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value (s) for the variable (s) − 3 + 2 2 − 3 − 15. In this section we are going to be looking at rational exponents. To solve the given expressions and generate equivalent expressions with positive exponents, we can use the properties of integer exponents: 1. Detailed step by step solutions to your Equivalent Expressions problems with our math solver and online calculator. How To: Given an exponential equation with unlike bases, use the one-to-one property to solve it. We have seen already when covering Lesson 3 that fractional exponents are simply an alternate way of expressing radicals. Identify terms that are products of factors and a logarithm and rewrite each as the logarithm of a power. For example, 2x (x + y) can be simplified as 2x 2 + 2xy. Dividing exponents is where you divide terms that involve exponents, or powers. Using the Product Rule of Exponents. Make sure the expression entered is correct. In this math lesson, we learn to evaluate an algebraic expression with exponents by following the order of operations (PEMDAS). The equivalent expression to with only positive exponents that has been generated by applying the Properties of Integer Exponents is. For example, if after simplifying an expression we end up with the expression x −3, x −3, we will take one more step and write 1 x 3 Exponent rules are mathematical laws that help us simplify expressions involving powers or exponents. This is the operation this online exponent calculator performs for you. Here's the best way to solve it. Powered by Chegg AI. Embed this widget » Exponent Calculator. The expression is equal to (r - 4)^3. For example, writing 4 x 4 x 4 x 4 x 4 with an exponent. When dividing numerical or algebraic expressions that have the same base, you can subtract the exponents. A happiness researcher has quantified just how much happier we. For example, if we are asked to simplify the expression 3 (x + 4), the order of operations says to work in the parentheses first. Solve equations with PEMDAS order of operations showing the work. 4 x pi x 3^2 x 10^6 cm^3. In this case, 3^5 divided by 3^9 can be simplified as 3^ (5-9) = 3^-4. The power rule dictates that an exponent raised to another exponent means that the two exponents are multiplied: Any negative exponents can be converted to positive exponents in the denominator of a fraction: The like terms can be simplified by subtracting. For example, to simplify 2 (x + 3), you would multiply 2 by both x and 3, resulting in 2x + 6. Fortunately, you can get around the problem. Exponents ('²') appear in superscript text, as do ordinal indicators ('1ˢᵗ') and trademark symbols ('. Indeed, when you have a basic square root like \(\sqrt x\), this is actually represented by an exponent, because \[\sqrt x = x^{\frac{1}{2}}\] Therefore, there is an exponent involved and the rules of exponents will apply. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. means the exponent is 3). Write the digits as a decimal number between 1 and 10. , Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Thanks to its literal computing capabilities, the calculator can easily simplify this fraction log b (x / y) = log b x - log b y. Step 4: Click on the "Reset" button to clear the fields and find different exponent values. Then we rewrite the equation in logarithmic form. Practice your math skills and learn step by step with our math solver. For example, in the expression am, the positive integer exponent m tells us how many times we use the base a as a factor. Equivalent algebraic expressions worksheet. Any number to the power of 0 is 1 Example: 450 0 = 1 Negative exponents can be converted to 1 divided by. Use exponential notation and repeated multiplication to describe and simplify exponential expressions. Here are a few examples which express negative exponents with variables and numbers. Calculator No Item Types Equation. Standard: Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms. Simplifying Expressions Worksheet 7-Here is another ten problem worksheet featuring featuring the distributive property. When you enter an expression into the calculator, the calculator will simplify the expression by expanding multiplication and combining like terms. )Rewrite the expression with a rational exponent. Here's what an exponent and a base look like: 4 3. All letters denote numbers. If a, b are real numbers and m, n are rational numbers, then. Computing power in modular arithmetic is linked to modular inverses, which you can discover with the help of our inverse modulo calculator. Therefore, a future payment is equivalent to a smaller present cash amount Web site calcr offers users a very simple but useful online calculator. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Exponents. Detailed step by step solutions to your Equivalent Expressions problems with our math solver and online calculator. Exponents and powers are used to make the writing of long, repeated multiplication processes simpler. the process that involves rewriting a radical expression as an equivalent expression in which the denominator no longer contains any radicals. Checkout examples that are mention below in table. Which expressions are equivalent to x 4 5. Exponents and powers are used to make the writing of long, repeated multiplication processes simpler. 6x42,x≥0 6x42= (Simplify your answer. Sometimes, we may get confused in the order of taking operations. Before we give some examples of writing numbers in standard form in physics or chemistry, let's recall from the above section the standard form math formula:. 83p = 8 Write the exponent 1 on the right. solving equations with rational exponents. You can write the two expressions to show equality: 2x (3y + 2) = 6xy + 4x. Choose "Simplify/Condense" from the topic selector and click to see the result in our Algebra Calculator! Examples Step 1: Solve parentheses by adding/subtracting like terms inside and by multiplying the terms inside the brackets with the factor written outside. Plus, the converter's results also include the step-by-step, token-by-token processing used to complete the conversion. This page titled 1. To divide a fraction that is raised to an exponent, give the exponent to both the numerator and the denominator. Since 20 is not a perfect square, it is composed of a perfect square (the 4) multiplied by another number (the 5). 5 Complex Number Solutions. Problem 2 : Find the value of 7 2 x 5 2 Steps to Solve Exponential Equations using Logarithms. With over 50 pdf worksheets that practice reducing expressions with exponents to numerical values, this is learning at its most profuse. Describe how you would simplify the given expression. How To: Given a sum, difference, or product of logarithms with the same base, write an equivalent expression as a single logarithm. mauve suit Isolate the expression with the rational exponent; Raise both sides of the equation to the reciprocal power. Subject Area: Mathematics (BS) Grade: 912. The Cube Root Calculator is a specialized form of our common Radicals Calculator. Jane says that 4√x^8 converts to x^4/8 and Sam says 4√x^8 converts to x^8/4. Douglas K 1 y− 1 4 = y1 4 1/y^ (-1/4) = y^ (1/4) (a)The 6 without an exponent is equivalent to the 6 having a 0 exponent. You can divide exponents in various forms, including whole numbers, negative numbers, fractions, and decimals. Determine the power by looking at the numerator of the exponent. Explanation: To find an equivalent expression for 17⁻⁷ * 175, we need to use the laws of exponents with integer exponents. An alternative method to factoring is to rewrite the expression with rational exponents, then use the rules of exponents to simplify. Free log equation calculator - solve log equations step-by-step To expand an expression using the distributive property, multiply each term inside a set of parentheses by each term outside the parentheses, and then simplify by combining like terms. Free Prime Factorization calculator - Find prime factorization of numbers step-by-step. Numerical Expressions calculator This calculator evaluates mathematical expressions. Improve your math knowledge with free questions in "Identify equivalent exponential expressions I" and thousands of other math skills. By splitting the numerator and denominator of the fractional power, you can enter the expression so that your calculator should arrive at the correct value. The Equivalent expressions calculator uses advanced algorithms to simplify and transform expressions into equivalent forms, providing you with step … Equivalent Expressions Calculator. 6 1 therefore this statement is False. Find step-by-step Calculus solutions and your answer to the following textbook question: Rewrite the following as an equivalent expression with rational exponents Boxowitz, Inc. Equations with Fractional Exponents. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. The Equivalent expressions calculator uses advanced algorithms to simplify and transform expressions into equivalent forms, providing you with step-by-step explanations along the way. From calculators and watches to remote controls and toys, these dev. uta housing number Equations with Fractional Exponents. Patient and effective UH grad for High school Math tutoring. Example: What is the value of exponent. You just switch it to the opposite part of the fraction, and make the exponent positive. xa = 1 x−a, x ≠ 0 x a = 1 x − a, x ≠ 0. Use a calculator to check your answers 52/3 ⋅ 54/3 b (42/3)3 d 85/2 — 81/2 f. If there is an exponent in the argument of a logarithm, the exponent can be pulled out of the logarithm and multiplied. For example, x²⋅x³ can be written as x⁵. The argument is already written as a power, so we identify the exponent, 5, and the base, \ (x\), and rewrite the equivalent expression by multiplying the exponent times the logarithm of the base. Polynomials Calculator online with solution and steps. The calculator will print a step-by-step explanation on how the work has been. Convert to Radicals Notation: The next step is to convert the given fractional exponent to an equivalent radical expressiong; if you have \(x^{n}{d}\), it will be written as \(\sqrt[d]{n}\) In this section, we review rules of exponents first and then apply them to calculations involving very large or small numbers. EX: log (10 / 2) = log (10) - log (2) = 1 - 0699. How can you prove that two expressions are equivalent? Just keep trading out equivalent pieces until the two expressions match. For example, x 1 2 and x are equivalent. Free Prime Factorization calculator - Find prime factorization of numbers step-by-step. hot pants of the 70s An equation is made up of 2 expressions separated by an equals sign. For any number x and any integers a and b, \ (\left (x^ {a}\right)\left (x^ {b}\right) = x^ {a+b}\). Practice your math skills and learn step by step with our math solver. Determine the root by looking at the denominator of the exponent. Normally when we see an expression like this …. , Reverse Polish Notation, or RPN) using the stack method. To use the square root as a base number, you multiply the exponent by 2 to get an equivalent expression. How can you prove that two expressions are equivalent? Just keep trading out equivalent pieces until the two expressions match. Rationalizing Denominator Statement If the denominator consists of the square root of a natural number that is not a perfect square, multiply the numerator and the denominator by the smallest number that. System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums. Use this calculator to find the power of any number, including negative and decimal exponents. Step 2: Free trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step This part of the expression can be rewritten without a negative exponent by taking the reciprocal of the base and applying the positive of the original exponent (using a − x = 1 a x ) Free Exponential Form calculator - convert radicals to exponents step-by-step Z Score Calculator. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Step 2: Click the blue arrow to submit. Incorrect Choices: (A) Tip: Read the entire question carefully. Free Exponents Multiplication calculator - Apply exponent rules to multiply exponents step-by-step. Power of a Power Rule: (a^m)^n = a^ (m * n) 4. 6 months ago.
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Simplify and compare fractions easily. In this example, you will distribute the outer exponent first using the Power of a Product Property. Instead of having the minus 5 at the end, they put a negative 5 in the beginning. 3Negative exponent rule. The 3 in this expression is the base number and the 5 is the exponent. Enter a monomial expression and the tool will simplify it. Detailed step by step solutions to your Polynomials problems with our math solver and online calculator. Definition: Equivalent Expressions. Apply the Properties of Integer Exponents to generate equivalent expressions to (4^3 ⋅ 7^−2)^−5/7^9 ⋅ 4^−13 with only positive exponents, then solve the expression. Change this logarithmic expression to an equivalent expression involving an exponent. It is widely used in various mathematical and scientific fields, such as exponential and logarithmic functions. From the calculator, you know that √5 ≈ 2. The Equivalent expressions calculator uses advanced algorithms to simplify and transform expressions into equivalent forms, providing you with step-by-step explanations along the way. Given that: log c ( x 4 y 9 z 2 9) View the full answer Step 2 More specifically, the logarithm of a number x is the exponent y to which a fixed base b must be raised to equal x. As the examples below will show you, a logarithmic expression like $$ log_2 256 $$ is simply a different way of writing an exponent! The equivalent expression with positive exponents is c) 13^-16. Expand each expression, and then rewrite the resulting. Follow us. Please type a valid expression involving … Equivalent forms of exponential expressions. This concept differs from multiplication, which is simply repeated addition. The same properties of exponents apply for both positive and negative exponents. Evaluate expressions with or without variables. All steps are shown. When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: = ⏟. Fortunately, the laws of exponents work exactly the same whether the exponents are positive or negative integers If \ (m\) and \ (n\) are integers. safeway carrer 1 × 10¹² isn't because 13 Calculator supports fractions, exponents and nested parenthesis. In earlier chapters we talked about the square root as well. Write the expression in exponential form. 6 × 6 × 6 × 6 × 6 =. Exponent Properties Calculator online with solution and steps. Detailed step by step solutions to your Polynomials problems with our math solver and online calculator. Arithmetic Expressions Calculator Parameters: The numbers used are integers. The equivalent expression to with only positive exponents that has been generated by applying the Properties of Integer Exponents is. Roman Numerals Radical to Exponent Exponent to Radical To Fraction To. Equivalent forms of exponential expressions Get 3 of 4 questions to level up! Quiz 2 Solve exponential equations using exponent properties (advanced) Get 3 of 4 questions to level up! Compound interest Intro to compound interest (Opens a modal) Solved example: compound interest Free Rational Exponents - Fractional Indices Calculator - This calculator evaluates and simplifies a rational exponent expression in the form a b/c where a is any integer or any variable [a-z] while b and c are integers. The student applies mathematical process standards to develop concepts of expressions and equations. Fractional exponents can be a little daunting at first, so it never hurts to do as many. Since any number raised to the power of 0 is equal to 1, we can rewrite this as: 2) 1^0/3^4. 4: Radicals and Rational Expressions is shared under a CC BY 4. Your answer will be a simplified fraction with no remaining exponents. For example, 3 4 is 3 x 3 x 3 x 3 = 81. Scientific calculator. Doing one, then the other, gets us back to where we started: Doing ax then loga gives us back x: loga(ax) = x. orchard careers If the expressions have variables, they are equal whenever the same value is used for the variable in each expression. Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions. Since 5 is an exponent of 10, we can write it as 10². The Casio FX-260 is a solar-powered calculator suitable for general calculations. 1 × 10¹² isn't because 13 Calculator supports fractions, exponents and nested parenthesis. x 2 + 5 x + 5 5 2 − 1 x − 4 2 3. Next, we have the inverse property. The base b logarithm of a number is the exponent by which we must raise b to get that number. After getting the unhelpful answer in my first calculator, I re-entered the number with the power broken into pieces: 👉 Learn how to simplify expressions using the product rule of exponents. We will focus on applying the product rule, quotient rule as well as power rule Get detailed solutions to your math problems with our Rationals and Irrationals step-by-step calculator. How to do repeating operations, higher. 64^5/3. In some situations, you don't need to know the exact result of the square root. To calculate exponents such as 2 raised to the power of 2 you would enter 2 raised to the fraction power of (2/1) or 22 1 2 2 1. If the expressions have variables, they are equal whenever the same value is used for the variable in each expression. When multiplying two. Integral rule. Simplify the expression: (x¹²)³ 5+4=c⁹ ; Same base of c so the exponents are added (Product of Powers Property) -36c⁹. Express the argument as a power, if needed. Solve exponential equations using exponent properties. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Not only this, but the fast calculations done by this calculator will amaze you with accurate results. commercial unit for rent leicester Convert 4 √x^8 to rational/factional exponent form and explain who was right. Use our handy & instant online simplifying exponents calculator and get the exact answer after simplifying the two exponents' expressions. When you are done, click "Resize window to fit data. First, let's simplify the expression inside the parentheses (256√10)^551213. b n means b multiplied by itself n times. For example, to express x 2, enter x^2. For any real number a and positive numbers m and n , the product rule for exponents is the following. To divide a fraction that is raised to an exponent, give the exponent to both the numerator and the denominator. Then, identify the values of x and y. Evaluate expressions with or without variables. All steps are shown. The logarithm calculator simplifies the given logarithmic expression by using the laws of logarithms. When we use rational exponents, we can apply the properties of exponents to simplify expressions. 2^4 = x Change the exponential expression to an equivalent expression involving a logarithm log4 3 = x b log3 x = 4 d. To apply the properties of integer exponents and generate equivalent expressions with positive exponents, we'll use the following rules: 1) Product rule: (a^n) * (b^n) = (a * b)^n. Show transcribed image text. There are three factors of r - 4, which means that (r - 4)^3 can be written as (r - 4)(r - 4)(r - 4). To generate the equivalent expression 3¹⁴ from 3⁵/3⁻⁹, two properties of exponents are used: the property of negative exponents and the product rule of exponents Apply the Properties of Integer Exponents to generate equivalent expressions to 37⋅3−9 with only positive exponents, then solve the expression. Convert the exponential equation to a logarithmic equation using the logarithm base (e) ( e) of the left side (y) ( y) equals the exponent (x) ( x). All but one of them equals 16. This means, 10 -3 × 10 4 = 10 (-3 + 4) = 10 1 = 10 Example 2: Simplify the given expression and select the correct option using the laws of exponents: 10 15 ÷ 10 7 More examples of Negative exponents: 5-1 is equal to ⅕; X-4 is written as 1/x 4 (2x+3y)-2 is equal to 1/(2x+3y) 2.
Learn for free about math, art, computer programming, … Expand your algebra superpowers by introducing exponents! Let's build our toolkit that allows us to manipulate exponents algebraically. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Solve exponential equations using exponent properties (advanced) Level up on the above skills and collect up to 400 Mastery points. 1. Cash and cash equivalents (CCE) are company assets in cash form or in a form that can be easily converted to cash. First, let's simplify the expression within the parentheses. 5 is the same as 3/2 to select all of the equations below that are equivalent toT = A1 Convert the equation you found, T = A3/2, into a form without any rational exponents. leafly.com Step 1: Enter the radical expression below for which you want to calculate the square root. Write the number in the form factorexponent to get: 128 = 27. The calculator finds the value of the radical. The exponent says how many times to use the number in a multiplication. Example: 〖 (3 2) 〗 4 = 3 2x4 =3 8 =6561. Fractional exponents can be a little daunting at first, so it never hurts to do as many. The square root of a number can be written using the radical sign (√) or with exponent 1/2. 👉 Learn how to apply the rules of exponents to simplify an expression. 4500 flatbed trucks for sale Evaluate expressions with or without variables. All steps are shown. The power rule dictates that an exponent raised to another exponent means that the two exponents are multiplied: Any negative exponents can be converted to positive exponents in the denominator of a fraction: The like terms can be simplified by subtracting. The square root calculator finds the square root of the given radical expression. The product rule of exponents states that the product of powers with a common base. Rewrite exponential expressions (CCSSContentB. $16:(5 No; Ayana added the exponents and Kenji divided the exponents. Determine the power by looking at the numerator of the exponent. =5 7 (x 3) 7 Used property (ab) n = a n b n 78,125x 21 Used property (a n) m = a nm Write the expression. av4.us reddit It can be hard to open up, but sharing can benefit our relation. The square root of m, √m, is a positive number whose square is m. From calculators and watches to remote controls and toys, these dev. =5 7 (x 3) 7 Used property (ab) n = a n b n 78,125x 21 Used property (a n) m = a nm Write the expression. With a negative exponent, this causes the expression to reciprocate and change exponent to positive, so start with 1/ (4096)^ (5/6) = 1/4^5 = 1/1024. If y = b^x, where b is the base of the exponential, then x = logb (y). ) Show transcribed image text. You can write the two expressions to show equality: 2x (3y + 2) = 6xy + 4x.
com is the ideal site to pay a visit to! Notice that the exponent of the product is the sum of the exponents of the terms. 5 Complex Number Solutions. Your answer should contain only positive exponents. Use our handy & instant online simplifying exponents calculator and get the exact answer after simplifying the two exponents' expressions. To solve negative exponents with fractions, we have to use both the negative exponents' rule and the fractional exponent's rule We will look at the process that can be used to simplify expressions that have negative exponents with fractions along with various exercises to improve understanding $ is equivalent to 4 Free pre calculus calculator - Solve pre-calculus problems step-by-step. For example, in the expression 10 - 7 + 3, you first need to perform subtraction 10 - 7 = 3, and then addition 3 + 3 = 6 The order of roots and exponents When you multiply monomials with the same base, you add the exponents. Practice your math skills and learn step by step with our math solver. Polynomials Calculator online with solution and steps. Define and use the negative exponent rule. The positive integer exponent indicates repeated multiplication of the same quantity. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright. Determine the power by looking at the numerator of the exponent. The student applies mathematical process standards to develop concepts of expressions and equations. In words: 8 2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared". Let's review the vocabulary for. Lesson 15: Equivalent Exponential Expressions. )Rewrite the expression with a rational exponent. If x is positive a will be positive. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Rewrite expressions with negative exponents so tha. lindy lowry husband This equivalent expressions calculator assists you in rewriting an algebraic expression as new with each step shown. System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums. 456 x 10,000 = 34560456 x 10^-4 = 30001 = 0 To generate the equivalent numerical expression, we have to simplify 92 + 19 = 81 + 19 = 100. Write each exponential equation in its equivalent logarithmic form. The calculator works for both numbers and expressions containing variables. Given an expression with a rational exponent, write the expression as a radical. For example, 2x + 5 is an expression that tells. For example, 2x + 5 is an expression that tells. Free Radicals Calculator - Simplify radical expressions using algebraic rules step-by-step The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own. Quadratic equation factoring solving polynomial equations solve quadratics factorising aplustopper algebra expressions formulas algebraic worksheet plus 5x 3x math solutionsExpressions linear equivalent lesson factor properties operations rational coefficients apply expand Expressions factoring expanding rational coefficientsThe factorial key. Use the following rules to enter expressions into the calculator Any lowercase letter may be used as a variable Exponents are supported on variables using the ^ (caret) symbol. BYJU'S online negative exponents calculator tool makes the calculation faster, and it displays the result in a fraction of seconds. Button batteries are small, round batteries commonly used in various electronic devices such as watches, calculators, and toys. Explanation: To find an equivalent expression for 17⁻⁷ * 175, we need to use the laws of exponents with integer exponents. In this case, both bases are equal to 1. Distributive property with variables About Transcript. Raise 2 2 to the power of 3 3. It does the work for you in seconds. Get the free "Equivalent Expression Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. The square root calculator finds the square root of the given radical expression. That is exponents in the form. popular short hairstyles for mother of the bride over 50 Readiness Standard7 Expressions, equations, and relationships. Need a FREE online calculator?https://wwwcom/calculator🌻 JOIN MY EM. The power of a product of factors is the same as the product of the powers of the same factors. We will use the Power Property of Exponents to find the value of p. Evaluate 1369 Evaluate 15 (5 + 3) Evaluate 340 Evaluate 3 2 (5 6-7 3) Howto: Given an expression with a rational exponent, write the expression as a radical. Base numbers that are already squares, cubes, etc of other numbers can be simplified. 1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. =5 7 (x 3) 7 Used property (ab) n = a n b n 78,125x 21 Used property (a n) m = a nm Write the expression. 1 × 10¹² isn't because 13 Calculator supports fractions, exponents and nested parenthesis. Since 20 is not a perfect square, it is composed of a perfect square (the 4) multiplied by another number (the 5). There will be times when working with expressions will be easier if you use rational exponents and times when it will be easier if you use radicals. Identify equivalent expressions involving exponents I Suppose we want to find a number p such that (8p)3 = 8. This means, 10 -3 × 10 4 = 10 (-3 + 4) = 10 1 = 10 Example 2: Simplify the given expression and select the correct option using the laws of exponents: 10 15 ÷ 10 7 More examples of Negative exponents: 5-1 is equal to ⅕; X-4 is written as 1/x 4 (2x+3y)-2 is equal to 1/(2x+3y) 2. Learn how to find equivalent forms of exponential expressions, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills. If the numerator of the reciprocal power is an even number, the solution must be checked because the solution involves the squaring process which can introduce extraneous roots. You just switch it to the opposite part of the fraction, and make the exponent positive. Explore math with our beautiful, free online graphing calculator. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.