Answer
$\frac{1}{3}$
Work Step by Step
The given expression is
$=-\sqrt[3]{-\frac{1}{27}}$
$=-\sqrt[3]{\frac{1}{-27}}$
Use $-27=(-3)^3$.
$=-\sqrt[3]{\frac{1}{(-3)^3}}$
Simplify.
$=-{\frac{1}{(-3)}}$
$=\frac{1}{3}$
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