Algebra Examples

$\sqrt[4]{\frac{x^{20}}{81}}$

Step 1

Rewrite $x^{20}$ as ${(x^{5})}^{4}$ .

$\sqrt[4]{\frac{{(x^{5})}^{4}}{81}}$

Step 2

Rewrite $81$ as $3^{4}$ .

$\sqrt[4]{\frac{{(x^{5})}^{4}}{3^{4}}}$

Step 3

Rewrite $\frac{{(x^{5})}^{4}}{3^{4}}$ as ${(\frac{x^{5}}{3})}^{4}$ .

$\sqrt[4]{{(\frac{x^{5}}{3})}^{4}}$

Step 4

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

$\frac{x^{5}}{3}$