Simplify the Radical Expression sixth root of (64h^12)/(g^6)

$\sqrt[6]{\frac{64 h^{12}}{g^{6}}}$

Step 1

Rewrite $64 h^{12}$ as ${(2 h^{2})}^{6}$ .

$\sqrt[6]{\frac{{(2 h^{2})}^{6}}{g^{6}}}$

Step 2

Rewrite $\frac{{(2 h^{2})}^{6}}{g^{6}}$ as ${(\frac{2 h^{2}}{g})}^{6}$ .

$\sqrt[6]{{(\frac{2 h^{2}}{g})}^{6}}$

Step 3

Pull terms out from under the radical.

$| \frac{2 h^{2}}{g} |$

Step 4

Remove non-negative terms from the absolute value.

$\frac{2 h^{2}}{| g |}$