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

## Answer this Question

## Related Questions

- Math - A number multiplied by itself and then by itself again gives -1,000. What...
- Pre-calculus. - Wesley and Delia are playing a math game. Wesley gives Delia ...
- Algebra - I'm trying to solve (5x-4)/(5x+4)=2/3. I don't know how to get the x's...
- Physics - I'm trying to rearange this 0 = Xo + 2^-1 a t^2 for t I've been told ...
- geometry - Square is the product of a number multiplied with that number itself....
- Math - Find the positive number such that 1/2 of the number multiplied by 1/3 of...
- Math - Jerimiah is thinking of a number which,when multiplied times itself gives...
- algebra - find the real number solutions of the equation. w^4+w^3-w=1 could you ...
- Pre-Algebra [urgent!] - I can't find the solution to this problem; can someone ...
- Pre-algebra - If zero is known as the trivial solution, what happens when x = 1...

More Related Questions