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Old 08-29-2016, 11:10 PM
Indistinguishable Indistinguishable is offline
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Join Date: Apr 2007
Posts: 10,511
Binomial expansions are certainly good things to look at. I'd advise (1 + 10A)^10. Indeed, I'd advise just playing around and seeing what happens to numbers ending in 1 as you repeatedly raise them to 10th powers. That should make at least some relevant patterns clear, which may spur further thoughts. I'll provide a fuller explanation in a few days if there's still interest.

Last edited by Indistinguishable; 08-29-2016 at 11:11 PM. Reason: Trying to limit the amount I procrastinate work I should be doing via wasting time on the Internet