Algebra Examples

$\sqrt[5]{- 32 x^{10} y}$

Step 1

Rewrite $- 32 x^{10} y$ as ${(- 2 x^{2})}^{5} y$ .

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Step 1.1

Rewrite $- 32$ as ${(- 2)}^{5}$ .

$\sqrt[5]{{(- 2)}^{5} x^{10} y}$

Step 1.2

Rewrite $x^{10}$ as ${(x^{2})}^{5}$ .

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

Step 1.3

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

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

Step 2

Pull terms out from under the radical.

$- 2 x^{2} \sqrt[5]{y}$