SOLUTION: What is the last digit of the number 77^77 ?

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Question 221161: What is the last digit of the number 77^77 ?
Answer by Alan3354(69443) About Me  (Show Source):
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It's 7.
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The 1s digit is cyclic. It goes
7
9
3
1
7
9
3
1
Every 4th power it's 1. 77 = 19*4 + 1 --> 7