Simplify square root of (x^6)/(y^8)

$\sqrt{\frac{x^{6}}{y^{8}}}$

Step 1

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

$\sqrt{\frac{{(x^{3})}^{2}}{y^{8}}}$

Step 2

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

$\sqrt{\frac{{(x^{3})}^{2}}{{(y^{4})}^{2}}}$

Step 3

Rewrite $\frac{{(x^{3})}^{2}}{{(y^{4})}^{2}}$ as ${(\frac{x^{3}}{y^{4}})}^{2}$ .

$\sqrt{{(\frac{x^{3}}{y^{4}})}^{2}}$

Step 4

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

$\frac{x^{3}}{y^{4}}$