#### 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 the expression above simplifies to:
$=-(-7)
\\=\color{blue}{7}$

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$7$

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