(4x^3)^1/5=(216)^1/5
(4x^3)^1/5=(216)^1/5 for this to be true, it is evident that 4x^3 must = 216
So we have
4x^3 = 216 divide both sides by 4
x^3 = 54 take the cube root of both sides
x = 3√54 = 3√(27*2) = (3) 3√2