Question

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

Answer 1

`x=-3`

Explanation:

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

Answer 2

`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!