Simplify square root of (y^6)/16

$\sqrt{\frac{y^{6}}{16}}$

Step 1

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

$\sqrt{\frac{{(y^{3})}^{2}}{16}}$

Step 2

Rewrite $16$ as $4^{2}$ .

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

Step 3

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

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

Step 4

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

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