Algebra Examples

$\sqrt[6]{16 x^{6}}$

Step 1

Reorder $16$ and $x^{6}$ .

$\sqrt[6]{x^{6} \cdot 16}$

Step 2

Pull terms out from under the radical.

$x \sqrt[6]{16}$

Step 3

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

$x \sqrt[6]{4^{2}}$

Step 4

Rewrite $\sqrt[6]{4^{2}}$ as $\sqrt[3]{\sqrt{4^{2}}}$ .

$x \sqrt[3]{\sqrt{4^{2}}}$

Step 5

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

$x \sqrt[3]{4}$