How to convince Mathematica that $(-1)^{2/3} = e^{2pi i /3}$

I have a list T which contains 3 + 4*E^(2*Pi*I/3). Yet MemberQ[ T , 3 + 4*(-1)^(2/3) ] returns false.

One can check for themselves with MemberQ[{3 + 4*E^(2*Pi*I/3)}, 3 + 4*(-1)^(2/3)]. It will return False.

How can I tweak this so that the above returns True? Am I fumbling some detail regarding the principal branch?