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 - Page 421: 12

Answer

-$\frac{1}{25}$

Work Step by Step

$-5^{2}$ = (-1)$(5)^{-2}$ = $-\frac{1}{(5)^{2}}$ = -$\frac{1}{25}$ Whenever there is a negative exponent, we should place the term under a 1. Then we evaluate the expression. In this instance, the answer is -$\frac{1}{25}$. We should be careful in this instance as the negative is not with the 5 inside the parenthesis.
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