laws of intergral indice

9(4^n) -3(2^n+1)/5(2^n-1)

9(2^2n) - 3(2^n)(2)
------------------------
5(2^n)/2


9(2^n)(2^n) - 3(2^n)(2)
-----------------------------
5(2^n)/2


(2^n) [9(2^n) - 3(2)]
-----------------------------
(5/2)(2^n)


[9(2^n) - 6]
------------------
   (5/2)


2 [9(2^n) - 6]
------------------
      5


18(2^n) - 12
------------------
      5