Pre algebra
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