Simplify cube root of y^11

$\sqrt[3]{y^{11}}$

Step 1

Rewrite $y^{11}$ as ${(y^{3})}^{3} y^{2}$ .

Factor out $y^{9}$ .

$\sqrt[3]{y^{9} y^{2}}$

Rewrite $y^{9}$ as ${(y^{3})}^{3}$ .

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

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

Step 2

Pull terms out from under the radical.

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

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