Simplify cube root of x^14

$\sqrt[3]{x^{14}}$

Step 1

Rewrite $x^{14}$ as ${(x^{4})}^{3} x^{2}$ .

Factor out $x^{12}$ .

$\sqrt[3]{x^{12} x^{2}}$

Rewrite $x^{12}$ as ${(x^{4})}^{3}$ .

$\sqrt[3]{{(x^{4})}^{3} x^{2}}$

$\sqrt[3]{{(x^{4})}^{3} x^{2}}$

Step 2

Pull terms out from under the radical.

$x^{4} \sqrt[3]{x^{2}}$

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