Answer
$-2y^3$
Work Step by Step
Recall:
$a^{\frac{m}{n}}=\sqrt[n]{a^m}$
Use the rule above to obtain:
\begin{align*}
&=\sqrt[3]{-8y^9}\\
&=\sqrt[3]{\left(-2y^3\right)^3}\\
&=-2y^3
\end{align*}
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