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Find the remainder of 5^400 when divided by 18.

 Jul 20, 2022
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I hope this is correct:

We can find a pattern of the remainers when powers of 5 are divided by 18. The pattern repeats after every 6 terms:

5

7

17

13

11

1

400 yields a remainder of 4 when divided by 6.

Therefore, the answer is 13.

 Jul 20, 2022

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