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!