Respuesta :

-10x-10x-10=-1000. Another way to think of that is the cube root of -1000 is -10. 

Answer: the number is x = -10

Step-by-step 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:

[tex]\sqrt[3]{x^3} = X = \sqrt[3]{-1000}[/tex]

Then X = -10

And you can prove it by:

-10*-10*-10 = (-10*-10)*-10 = 100*-10 = -1000