Answer
$-7$
Work Step by Step
RECALL:
$\sqrt[n]{a} = a^{1/n}$
Use the rule above by to obtain:
$\sqrt[3]{-343} = (-343)^{1/3}$
Since $-343=(-7)^3$, then
$\color{blue}{(-343)^{1/3} = -7}$
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: 16
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