Assuming you mean: (4x^2+16x-48)^1/3
It's not an equation because it's not equal to anything.
If you mean factor it, then:
Factor out a 4:
(4^(1/3)) * (x^2 + 4x - 12)^(1/3)
(4^(1/3)) * ( (x+6) (x-2) )^(1/3)
(4^(1/3)) * (x+y)^(1/3) * (x-2)^(1/3)
Use FOIL to check that (x+6)(x-2) = x^2 + 4x - 12
(x+6)(x-2)
x^2 - 2x + 6x - 12
x^2 + 4x - 12
Answer: (4^(1/3)) * (x+y)^(1/3) * (x-2)^(1/3)