If x^3=-27,then what is x?

2 Answers
Apr 23, 2018

x=-3

Explanation:

x^3=-27
x^3=-3^3
x=-3

Apr 23, 2018

x=-3

Explanation:

We can take the cube root of both sides, which is the same as raising both sides to the 1/3 power. Thus, we have:

x=root3(-27)

which evaluates to

x=-3 (the number in the radical is negative, and we have an odd-numbered root, so our answer must be negative).

If you can solve x^3=27, you can easily find x^3=-27, because the only thing that'll change is the sign of the answer. It will become negative.

Hope this helps!