Simplify fifth root of y^18

$\sqrt[5]{y^{18}}$

Step 1

Rewrite $y^{18}$ as ${(y^{3})}^{5} y^{3}$ .

Factor out $y^{15}$ .

$\sqrt[5]{y^{15} y^{3}}$

Rewrite $y^{15}$ as ${(y^{3})}^{5}$ .

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

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

Step 2

Pull terms out from under the radical.

$y^{3} \sqrt[5]{y^{3}}$

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