Question

If 9^n+1*3-n/2^-2-27^n/3m*2^3=1/729 prove that m-n=2

Answer 1

(9n+1)x(3-n/2)-2 - 27n / (3m x 2)3 =1/72932n+2 x 3n - 33n / 3m x 2m = 1/3633n+2 - 33n / 33m x 23 = 1/3633n (32 - 1) / 33m x 23 = 1/363n (32 - 1) / 3m x 8 = 1/363n x (9-1) / 3m x 8 = 1/363n x 8 /3m x 8 = 1/363n / 3m = 1/36