posted by Jude on .
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