Algebra Examples

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

Step 1

Apply the product rule to $x y$ .

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

Step 2

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

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

Step 3

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

$x^{2} y^{2}$