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

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

Step 1

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

$\sqrt{\frac{{(x^{4})}^{2}}{y^{6}}}$

Step 2

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

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

Step 3

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

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

Step 4

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

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