Simplify sixth root of x^17

$\sqrt[6]{x^{17}}$

Step 1

Rewrite $x^{17}$ as ${(x^{2})}^{6} x^{5}$ .

Factor out $x^{12}$ .

$\sqrt[6]{x^{12} x^{5}}$

Rewrite $x^{12}$ as ${(x^{2})}^{6}$ .

$\sqrt[6]{{(x^{2})}^{6} x^{5}}$

$\sqrt[6]{{(x^{2})}^{6} x^{5}}$

Step 2

Pull terms out from under the radical.

$x^{2} \sqrt[6]{x^{5}}$

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