Answer
$-\frac{1}{4}$
Work Step by Step
$(-64)^{-\frac{1}{3}}=\frac{1}{(-64)^{\frac{1}{3}}}=\frac{1}{\sqrt[3] (-64)}=\frac{1}{(-4)}=-\frac{1}{4}$
We know that $\sqrt[3] (-64)=-4$, because $(-4)^{3}=-4\times-4\times-4=-64$.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Review - Page 468: 30
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