What is the unit digit in 653^723?A] 7 B] 1 C] 2 D] 4Options :ABCD
Question
What is the unit digit in 653^723?
Options:
- A] 7
- B] 1
- C] 2
- D] 4
Solution
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.
So, the unit digit of 653^723 is the third digit in the pattern, which is 7.
Therefore, the answer is A] 7.
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