Algebra Examples

$\sqrt[3]{\frac{343}{x^{9}}}$

Step 1

Rewrite $343$ as $7^{3}$ .

$\sqrt[3]{\frac{7^{3}}{x^{9}}}$

Step 2

Rewrite $x^{9}$ as ${(x^{3})}^{3}$ .

$\sqrt[3]{\frac{7^{3}}{{(x^{3})}^{3}}}$

Step 3

Rewrite $\frac{7^{3}}{{(x^{3})}^{3}}$ as ${(\frac{7}{x^{3}})}^{3}$ .

$\sqrt[3]{{(\frac{7}{x^{3}})}^{3}}$

Step 4

Pull terms out from under the radical.

$\frac{7}{x^{3}}$