Answer
$\color{blue}{z^{5/4}}$
Work Step by Step
RECALL:
$\sqrt[n]{a^m}=a^{m/n}$
Use the rule above with $a=z$, $m=5$, and $n=4$ to obtain:
$\sqrt[4]{z^5} = \color{blue}{z^{5/4}}$
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: 28
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