Answer
$-3x^{3}$
Work Step by Step
$\sqrt[3] (-27x^{9})=-3x^{3}$, because $(-3x^{3})^{3}=-3x^{3}\times -3x^{3}\times -3x^{3}=(-3\times-3\times-3)\times x^{3+3+3}=-27x^{9}$
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