Answer
$\color{blue}{\sqrt[3]{5}}$
Work Step by Step
RECALL:
$\sqrt[n]{a^m} = a^{m/n}$
Use the rule above to obtain:
$=5^{3/9}
\\=5^{1/3}$
Use the rule $a^{1/n} = \sqrt[n]{a}$ to obtain:
$=\color{blue}{\sqrt[3]{5}}$
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 75: 72
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