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 - 7-2 Multiplying Powers With the Same Base - Practice and Problem-Solving Exercises: 65

Answer

The simplified one is $\frac{1}{16}$

Work Step by Step

To solve = $(-2)^{-4}$ = $\frac{1}{(-2)^{4}}$ = $\frac{1}{16}$ --> as $(-2)^{4}$ is 16 because you are multiplying -2 four times so (-)(-)(-)(-) = +
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