Basic Math Examples

$- \sqrt[4]{\frac{81}{x^{12}}}$

Step 1

Rewrite

$81$ as

$3^{4}$ .

$- \sqrt[4]{\frac{3^{4}}{x^{12}}}$

Step 2

Rewrite

$x^{12}$ as

${(x^{3})}^{4}$ .

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

Step 3

Rewrite

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

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

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

Step 4

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

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