Correct option is B
Given:Find the unit digit of
(2153)167
Formula used:If the unit digit of base is a, then unit digit of
an follows a repeating cycle.
Solution:Unit digit of 2153 is 3
Powers of 3 have the following unit digit cycle:
31=332=933=27=>unit digit 734=81=>unit digit 1Cycle: (3,9,7,1), length = 4
Find 167
mod4=3
So, the unit digit of
3167 is the 3rd digit in the cycle -
7Correct answer is (b).