# How do you simplify root3(-1000x^3)?

Apr 16, 2016

$- 10 x$

#### Explanation:

We are asked to find the cubic root of $- 1000 {x}^{3}$.

-1000 and ${x}^{3}$ are both perfect cubic numbers so it will be fairly simple to figure out the answer to this problem.

$\sqrt[3]{- 1000} = - 10$ because $- 10 \times - 10 \times - 10 = - 1000$
$\sqrt[3]{{x}^{3}} = x$ because $x \times x \times x = {x}^{3}$

Therefore our answer is $- 10 x$.