Simplify square root of (16y^9)/(c^10)

$\sqrt{\frac{16 y^{9}}{c^{10}}}$

Rewrite $\frac{16 y^{9}}{c^{10}}$ as ${(\frac{4 y^{4}}{c^{5}})}^{2} y$ .

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Factor the perfect power ${(4 y^{4})}^{2}$ out of $16 y^{9}$ .

$\sqrt{\frac{{(4 y^{4})}^{2} y}{c^{10}}}$

Factor the perfect power ${(c^{5})}^{2}$ out of $c^{10}$ .

$\sqrt{\frac{{(4 y^{4})}^{2} y}{{(c^{5})}^{2} \cdot 1}}$

Rearrange the fraction $\frac{{(4 y^{4})}^{2} y}{{(c^{5})}^{2} \cdot 1}$ .

$\sqrt{{(\frac{4 y^{4}}{c^{5}})}^{2} y}$

Pull terms out from under the radical.

$\frac{4 y^{4}}{c^{5}} \sqrt{y}$

Combine $\frac{4 y^{4}}{c^{5}}$ and $\sqrt{y}$ .

$\frac{4 y^{4} \sqrt{y}}{c^{5}}$

Simplify square root of (16y^9)/(c^10)

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