Answer
$-5y^{2}$
Work Step by Step
$\sqrt[3] (-125y^{6})=\sqrt[3] (-125\times y^{6})=\sqrt[3] (-125)\times\sqrt[3] (y^{6})=-5y^{2}$
We know this because $(-5)^{3}=-125$ and $(y^{2})^{3}=y^{2\times3}=y^{6}$
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