Here is a correction to you answer guest :)
Simplify the following:
(-125)^(1/3)
(-125)^(1/3) = (-1×125)^(1/3) = (-1×5^3)^(1/3):
(-5^3)^(1/3)
(-5^3)^(1/3) = (-1)^(1/3) (5^3)^(1/3) = (-1)^(1/3)×5^(3/3) = (-1)^(1/3)×5:
= -1*5
= -5
(-1)^(1/3) = -1 becasue (-1)^3=-1