Question

solve $x^{3}=-1000$, where $x$ is a real number. simplify your answer as much as possible. if there is more than one solution, separate them with commas. if there is no solution, click on
o solution\.

Explanation:

Step1: Take cube - root on both sides

$x=\sqrt[3]{- 1000}$

Step2: Rewrite - 1000 as $(-10)^3$

Since $-1000=(-10)\times(-10)\times(-10)=(-10)^3$, then $\sqrt[3]{-1000}=\sqrt[3]{(-10)^3}$

Step3: Simplify the cube - root

$\sqrt[3]{(-10)^3}=-10$

Answer:

$-10$