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 - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises: 43

Answer

The answer is $\frac{25}{81}$.

Work Step by Step

The expression $r^{-4}$$\times$$s^{2}$ can be rewritten as $\frac{s^{2}}{r^{4}}$. We plug in r=-3 and s=5 $\frac{s^{2}}{r^{4}}$. = $\frac{(5)^{2}}{(-3)^{4}}$ = $\frac{25}{81}$.
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