Find the unit digit of `(12)^(78)`

Explanation

The unit digit of `(12)^78` will be same as `(2)^78`. Now since we know that the cyclic period of unit digit of 2 is 4. The remainder when 78 is divided by 4 is 2. Hence the unit digit of `2^78` will be same as `2^2` which is 4. Thus the unit digit of `12^78` is 4.