Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set: 24

Answer

$-\frac{1}{32}$

Work Step by Step

An exponent of $5$ over the whole fraction means that we raise both the numerator and the denominator to the power of $5$: $(-\frac{1}{2})^{5}=(\frac{-1}{2})^{5}=\frac{(-1)^{5}}{2^{5}}=\frac{-1\times-1\times-1\times-1\times-1}{2\times2\times2\times2\times2}=\frac{-1}{32}=-\frac{1}{32}$
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