Simplify square root of (x^4)/(16y^2)

$\sqrt{\frac{x^{4}}{16 y^{2}}}$

Step 1

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

$\sqrt{\frac{{(x^{2})}^{2}}{16 y^{2}}}$

Step 2

Rewrite $16 y^{2}$ as ${(4 y)}^{2}$ .

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

Step 3

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

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

Step 4

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

$\frac{x^{2}}{4 y}$