A number multiplied by itself and then by itself again gives -1,000. What is the number? Please show the solution step by step

Let x = number

It was said in the first statement that the number is multiplied by itself and then by itself again. Thus, it was multiplied by itself thrice:
x*x*x = -1000
x^3 = -1000
We get the cuberoot of this, so that we can get x alone on the left side:
cuberoot(x^3) = cuberoot(-1000)
x = cuberoot(-1000)
Note that -1000 is a perfect cube, meaning there is a whole number or integer that is when multiplied by itself three times gives -1000. And that is number is -10, because (-10)(-10)(-10) = -1000.
Thus, x = -10

Hope this helps~ :3

To find the number, let's break down the given problem step by step.

1. Start with the equation: x * x * x = -1,000.
This equation represents the number multiplied by itself and then by itself again, resulting in -1,000.

2. To solve for x, we can take the cube root of both sides of the equation.
Cube root of -1,000 = -10 because -10 * -10 * -10 = -1,000.
Therefore, taking the cube root of both sides gives: x = -10.

So, the number that satisfies the equation x * x * x = -1,000 is -10.