Algebra Examples

$\sqrt[5]{- 32 x^{7} y}$

Step 1

Rewrite $- 32 x^{7} y$ as ${(- 2 x)}^{5} (x^{2} y)$ .

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Step 1.1

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

$\sqrt[5]{{(- 2)}^{5} x^{7} y}$

Step 1.2

Factor out $x^{5}$ .

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

Step 1.3

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

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

Step 1.4

Add parentheses.

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

Step 2

Pull terms out from under the radical.

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