Posted by **Jude** on Tuesday, September 24, 2013 at 2:07am.

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

- Pre algebra -
**Jai**, Tuesday, September 24, 2013 at 3:20am
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

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