Simplify square root of (x^6)/(y^2)

$\sqrt{\frac{x^{6}}{y^{2}}}$

Step 1

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

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

Step 2

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

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

Step 3

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

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