What is the unit digit in 653^723? A] 7 B] 1 C] 2 D] 4

The unit digit of a number raised to a power can be found by looking at the cycle of the last digit.

For example, the number 653 ends in 3. The powers of 3 follow a cycle of 4:

• 3^1 ends in 3
• 3^2 ends in 9
• 3^3 ends in 7
• 3^4 ends in 1
• 3^5 ends in 3 (the cycle repeats)

So, the cycle of the last digit of powers of 3 is 3, 9, 7, 1.

Now, to find the unit digit of 653^723, we need to find the remainder of 723 divided by 4 (the length of the cycle), which is 3.

This means the unit digit of 653^723 is the same as the third digit in the cycle, which is 7.

So, the answer is A] 7.