Question

what is the unit digit of 23^23---17^17​

Answer 1

Answer:

0

Step-by-step explanation:

both squares will have 9 at units place

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Answer 2

To get the unit digits of integers, we only need to do the computation of the unit digit of the powers of the original integer and look out for patterns

3^1 = 1

3^2 = 3

3^3 = 7

3^4 = 1 We can see that the unit digit of 23 power repeats after every 3 iteration.

Therefore the unit digit of 23^2 = 23^5 = 23^8 = 23^11 = 23^14 = 9

For 17 we follow the same method.

7^1 = 7

7^2 = 9

7^3 = 3

7^4 = 1

7^5 = 7 We can see that the unit digit of 17 power repeats after every 4 iteration.

Therefore the unit digit of 17^4 = [17^8 = 17^2} = 1

Hence the unit digit of 23^14 + 17^12 = The unit digit of (9+1) = The unit digit of 10 = 0

Hence option A = 0 is the answer.