Simplify cube root of 125r^12s^15

$\sqrt[3]{125 r^{12} s^{15}}$

Step 1

Rewrite $125 r^{12} s^{15}$ as ${(5 r^{4} s^{5})}^{3}$ .

$\sqrt[3]{{(5 r^{4} s^{5})}^{3}}$

Step 2

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

$5 r^{4} s^{5}$

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