Simplify cube root of 729m^6n^9

$\sqrt[3]{729 m^{6} n^{9}}$

Step 1

Rewrite $729 m^{6} n^{9}$ as ${(9 m^{2} n^{3})}^{3}$ .

$\sqrt[3]{{(9 m^{2} n^{3})}^{3}}$

Step 2

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

$9 m^{2} n^{3}$

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