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

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

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

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

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

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

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

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

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

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

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

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