If (1/5)^n * (1/4)^18 = 1/(2*(10)^35), then n =
Answers:
A) 40 B) 45 C) 35 D) 30 E) 25

Rationale: ( 1 / 5 ) ^ m ( 1 / 4 ) ^ 18 = 1 / { 2 ( 10 ) ^ 35 } 2 ( 10 ) ^ 35 / 4 ^ 18 = 5 ^ m [ 2 ( 2 ^ 35 ) ( 5 ^ 35 ) ] / [ 2 ^ 36 ] = 5 ^ m 5 ^ 35 = 5 ^ m n = 35 c
Answer: C