Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 28

Answer

$r^{2}s^{5}$

Work Step by Step

When we raise a power to a power, we multiply the powers together and keep the base. Let's multiply the exponent of each term by the exponent outside of the parentheses: $r^{\frac{2}{5}(5)}s^{5}$ Multiply the exponents: $r^{\frac{10}{5}}s^{5}$ Simplify the fraction in the exponent: $r^{2}s^{5}$
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