Pre-Algebra Examples

$\sqrt[5]{- 243 x^{10} y^{4}}$

Step 1

Rewrite $- 243 x^{10} y^{4}$ as ${(- 3 x^{2})}^{5} y^{4}$ .

Tap for more steps...

Step 1.1

Rewrite $- 243$ as ${(- 3)}^{5}$ .

$\sqrt[5]{{(- 3)}^{5} x^{10} y^{4}}$

Step 1.2

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

$\sqrt[5]{{(- 3)}^{5} {(x^{2})}^{5} y^{4}}$

Step 1.3

Rewrite ${(- 3)}^{5} {(x^{2})}^{5}$ as ${(- 3 x^{2})}^{5}$ .

$\sqrt[5]{{(- 3 x^{2})}^{5} y^{4}}$

Step 2

Pull terms out from under the radical.

$- 3 x^{2} \sqrt[5]{y^{4}}$