Pre-Algebra Examples

$- \sqrt[4]{\frac{256}{x^{12}}}$

Step 1

Rewrite $256$ as $4^{4}$ .

$- \sqrt[4]{\frac{4^{4}}{x^{12}}}$

Step 2

Rewrite $x^{12}$ as ${(x^{3})}^{4}$ .

$- \sqrt[4]{\frac{4^{4}}{{(x^{3})}^{4}}}$

Step 3

Rewrite $\frac{4^{4}}{{(x^{3})}^{4}}$ as ${(\frac{4}{x^{3}})}^{4}$ .

$- \sqrt[4]{{(\frac{4}{x^{3}})}^{4}}$

Step 4

Pull terms out from under the radical, assuming positive real numbers.

$- \frac{4}{x^{3}}$