Simplify square root of (y^6)/49

$\sqrt{\frac{y^{6}}{49}}$

Step 1

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

$\sqrt{\frac{{(y^{3})}^{2}}{49}}$

Step 2

Rewrite $49$ as $7^{2}$ .

$\sqrt{\frac{{(y^{3})}^{2}}{7^{2}}}$

Step 3

Rewrite $\frac{{(y^{3})}^{2}}{7^{2}}$ as ${(\frac{y^{3}}{7})}^{2}$ .

$\sqrt{{(\frac{y^{3}}{7})}^{2}}$

Step 4

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

$\frac{y^{3}}{7}$