Simplify cube root of y^20

$\sqrt[3]{y^{20}}$

Step 1

Rewrite $y^{20}$ as ${(y^{6})}^{3} y^{2}$ .

Factor out $y^{18}$ .

$\sqrt[3]{y^{18} y^{2}}$

Rewrite $y^{18}$ as ${(y^{6})}^{3}$ .

$\sqrt[3]{{(y^{6})}^{3} y^{2}}$

$\sqrt[3]{{(y^{6})}^{3} y^{2}}$

Step 2

Pull terms out from under the radical.

$y^{6} \sqrt[3]{y^{2}}$

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