Answer
$\color{blue}{2}$
Work Step by Step
RECALL:
$\sqrt[n]{a} = a^{1/n}$
Use the rule above by to obtain:
$-\sqrt[5]{-32} = -(-32)^{1/5}$
Since $-32=(-2)^5$, then the expression above simplifies to:
$=-(-2)
\\=\color{blue}{2}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises - Page 74: 21
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