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: 11

Answer

$\frac{1}{25}$

Work Step by Step

$(-5)^{-2}$ = $\frac{1}{(-5)^{2}}$ = $\frac{1}{25}$ Whenever there is a negative exponent, we should place the term under a 1 to make the exponent positive. Then we evaluate the expression. In this instance, the answer is $\frac{1}{25}$
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