What is the unit digit in 653^723?A] 7 B] 1 C] 2 D] 4Options :ABCD
Question
Solution 1
To find the unit digit of 653^723, we only need to consider the unit digit of the base number, which is 3.
The unit digit of powers of 3 follow a pattern: 3, 9, 7, 1, and then the pattern repeats every 4 powers.
To find where 723 falls in this pattern, we divide 723 by 4. The remainder is 3.
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