Why is e ln2 ^(4/3) /e = 2 (4/3) /e?

Multiplying  through by e  we  get

e^(Ln2 ^(4/3) )  = 2^(4/3)           and we  can write

e ^ [ (4/3) Ln 2 ]=  2^(4/3)       take the Ln of both sides

Ln e ^[ (4/3) Ln 2 ]  =  Ln 2^(4/3)         and we  can write

[ (4/3) Ln 2 ] Ln e   =  (4/3) Ln 2          ..... Ln e  =1....so  we  can ignore this

(4/3) Ln 2  =  (4/3) Ln 2       !!!!