1. 
(243)n/5 x 32n + 1 = ?

9n x 3n - 1

A. 1
B. 2
C. 9
D. 3 n

Answer: Option C

Explanation:

Given Expression
= (243)(n/5) x 32n + 1

9n x 3n - 1
= (35)(n/5) x 32n + 1

(32)n x 3n - 1
= (35 x (n/5) x 32n + 1)

(32n x 3n - 1)
= 3n x 32n + 1

32n x 3n - 1
= 3(n + 2n + 1)

3(2n + n - 1)
=

33n + 1

33n - 1
= 3(3n + 1 - 3n + 1)   = 32   = 9.