Question

(2.3^n+1 + 7.3^n-1) ÷ (3^n+2 - 2(1/3)^1-n

Answer 1

Answer:

1

Step-by-step explanation:

Now given

(2.3^n+1 + 7.3^n-1) ÷ (3^n+2 - 2(1/3)^1-n

2 x 3^n + 1 + 7 x 3^n – 1 / 3^n + 2 – 2(1/3)^1 - n

We can write this  by splitting

2 x 3^n x 3^1 + 7 x 3^n x 3^-1 / 3^n x 3^2 – 2 x 3^-1 x 3^n

We know a^m x a^n = a^m + n

3^n(2 x 3 + 7 x (1/3) / 3^n(3^2 – 2(1/3) )

6 + 7/3 / 9 – 2/3

25 / 25  

= 1