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I have no clue to do this. In addition to solving the problem, is there a good approach to solving these types of problems?

Arthur
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Gerard L.
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    What do you denote $k^100$? – Bernard Feb 18 '17 at 20:46
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    For next time, $\LaTeX$ commands like ^, _, \sqrt and so on only applies to the very next symbol unless you enclose it in curly brackets. Thus 1^100 becomes $1^100$, while 1^{100} becomes $1^{100}$. – Arthur Feb 18 '17 at 20:48
  • @Arthur, well done - first the fix then the explanation. – Andreas Caranti Feb 18 '17 at 20:49
  • @AndreasCaranti My main reason to be on this site is to try my best to educate. Mostly it's math, but some times it's on how to best use the site itself. – Arthur Feb 18 '17 at 20:50
  • I agree with your philosophy. More often then not, I also try and fix lacking $\LaTeX$ code in questions from newcomers. – Andreas Caranti Feb 18 '17 at 20:52

1 Answers1

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$101$ is prime. Use Fermat's little theorem.