Algebra Examples

$\sqrt[4]{\frac{x^{8}}{y^{4}}}$

Step 1

Rewrite $x^{8}$ as ${(x^{2})}^{4}$ .

$\sqrt[4]{\frac{{(x^{2})}^{4}}{y^{4}}}$

Step 2

Rewrite $\frac{{(x^{2})}^{4}}{y^{4}}$ as ${(\frac{x^{2}}{y})}^{4}$ .

$\sqrt[4]{{(\frac{x^{2}}{y})}^{4}}$

Step 3

Pull terms out from under the radical.

$| \frac{x^{2}}{y} |$

Step 4

Remove non-negative terms from the absolute value.

$\frac{x^{2}}{| y |}$