Algebra Examples

$\sqrt[4]{\frac{x^{4} y^{24}}{81}}$

Step 1

Rewrite $x^{4} y^{24}$ as ${(x y^{6})}^{4}$ .

$\sqrt[4]{\frac{{(x y^{6})}^{4}}{81}}$

Step 2

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

$\sqrt[4]{\frac{{(x y^{6})}^{4}}{3^{4}}}$

Step 3

Rewrite $\frac{{(x y^{6})}^{4}}{3^{4}}$ as ${(\frac{x y^{6}}{3})}^{4}$ .

$\sqrt[4]{{(\frac{x y^{6}}{3})}^{4}}$

Step 4

Pull terms out from under the radical.

$| \frac{x y^{6}}{3} |$

Step 5

Remove non-negative terms from the absolute value.

$\frac{y^{6} | x |}{3}$