Simplify cube root of -125a^9

$\sqrt[3]{- 125 a^{9}}$

Step 1

Rewrite $- 125 a^{9}$ as ${(- 5 a^{3})}^{3}$ .

$\sqrt[3]{{(- 5 a^{3})}^{3}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$- 5 a^{3}$

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