Answer
-7
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 $\sqrt[6] (-7)^{6}=|-7|=7$.
As a result, $-\sqrt[6] (-7)^{6}=-(7)=-7$.
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
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 - Page 440: 62
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