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?A] 7 B] 1 C] 2 D] 4Options :ABCD
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.
To find where in the pattern 723 falls, we divide it by 4 (the length of the pattern).
723 ÷ 4 = 180 remainder 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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