Algebra Examples

$4 \sqrt[6]{- 64 x^{3}}$

Step 1

Rewrite $- 64 x^{3}$ as $2^{6} \cdot (- 1 x^{3})$ .

Tap for more steps...

Step 1.1

Factor $64$ out of $- 64$ .

$4 \sqrt[6]{64 (- 1) x^{3}}$

Step 1.2

Rewrite $64$ as $2^{6}$ .

$4 \sqrt[6]{2^{6} \cdot - 1 x^{3}}$

Step 1.3

Add parentheses.

$4 \sqrt[6]{2^{6} \cdot (- 1 x^{3})}$

Step 2

Pull terms out from under the radical.

$4 (2 \sqrt[6]{- 1 x^{3}})$

Step 3

Rewrite $- 1 x^{3}$ as ${(- x)}^{3}$ .

$4 (2 \sqrt[6]{{(- x)}^{3}})$

Step 4

Rewrite $\sqrt[6]{{(- x)}^{3}}$ as $\sqrt{\sqrt[3]{{(- x)}^{3}}}$ .

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

Step 5

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

$4 (2 \sqrt{- x})$

Step 6

Multiply $2$ by $4$ .

$8 \sqrt{- x}$