Find the unit digit of (12)^(78) – InterviewSolution

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1.	Find the unit digit of (12)^(78)
Answer» Solution :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.

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