Answer
$-\frac{1}{3}$
Work Step by Step
$(-27)^{-\frac{1}{3}}=\frac{1}{(-27)^{\frac{1}{3}}}=\frac{1}{\sqrt[3] (-27)}=\frac{1}{(-3)}=-\frac{1}{3}$
We know that $\sqrt[3] (-27)=-3$, because $(-3)^{3}=-3\times-3\times-3=-27$.
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: 29
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