Any expression that has negative exponents is not considered to be in simplest form. We will use the definition of a negative exponent and other properties of exponents to write an expression with only positive exponents.

If you have an expression with negative exponents, you can rewrite it with positive exponents by moving around the terms.A negative exponent indicates the number of times to divide by the term. This is the opposite of a positive exponent, which indicates the number of times to multiply the term.

Understanding Exponents and Equivalent Expressions. Some numbers are easy to write, such as the number 87. But others are more difficult to write down.In this lesson you will learn how to read and write equivalent expressions by using variables and exponents.Simplify the expression below. Write your answer with only positive exponents. Assume all variables represent - Answered by a verified Math Tutor or Teacher.

Note that rational exponents are subject to all of the same rules as other exponents when they appear in algebraic expressions. Both simplification methods gave the same result, a 2.Depending on the context of the problem, it may be easier to use one method or the other, but for now, you’ll note that you were able to simplify this expression more quickly using rational exponents than when.

Read MoreDo you see a pattern that relates the expression in the first column to the equivalent simplified expression? Write in words what you notice about the exponents. When you multiply a power of a number times a power, multiply the exponents. Try these on your own Answers will vary 4 24 ( 2 5 3)3 6 15 9.

Read MoreAnswer to Write the expression without using negative exponents, if possible. Assume all variables represent positive numbers.

Read MoreLearn negative exponents with free interactive flashcards. Choose from 500 different sets of negative exponents flashcards on Quizlet.

Read MoreFor each expression below, write a simpler, equivalent expression using only positive exponents. Hint (a): When multiplying like terms, add the exponents. Answer (a): Hint (b): Follow the steps in part (a). Answer (b): Hint (c): When dividing like terms, subtract the exponents.

Read MoreFractional Exponents Example 1: Write an equivalent expression in root form. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website.

Read MoreStart studying Lessons 7-1 and 7-1: Multiplication and Division Properties of Exponents. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

Read MoreThis calculator will simplify fractions, polynomial, rational, radical, exponential, logarithmic, trigonometric, and hyperbolic expressions.

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Read MoreEquivalent Expression Calculator is a free online tool that displays the equivalent expressions for the given algebraic expression. BYJU’S online equivalent expression calculator tool makes the calculations and simplification faster, and it displays the equivalent expression in a fraction of seconds.

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