Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.1 - Radical Expressions and Graphs - 7.1 Exercises: 61

Answer

-5

Work Step by Step

As shown on page 437, $\sqrt[n] a^{n}=|a|$ when $n$ is an even positive integer. Therefore, we know that $\sqrt[6] (-5)^{6}=|-5|=5$. As a result, $-\sqrt[6] (-5)^{6}=-(5)=-5$.
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