Answer: the number is x = -10
Explanation:
We want a number X that when we multiply it by itself 3 times we get -1000
This is:
X*X*X = -1000
X^3 = - 1000
We can apply the cubic root to both sides of the equation, and get:
![\sqrt[3]{x^3} = X = \sqrt[3]{-1000}](https://img.qammunity.org/2017/formulas/mathematics/high-school/4veguhrlnrsnq81v19wkxs3y1cyw50nuni.png)
Then X = -10
And you can prove it by:
-10*-10*-10 = (-10*-10)*-10 = 100*-10 = -1000