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How to prove this congruent proof?

  1. Aug 5, 2010 #1
    If a is congruent to b mod n and a^k−1 is congruent to b^k−1 mod n, then a^k is congruent to b^k mod n.? n>0 and k>1

    How to prove it by induction?
  2. jcsd
  3. Aug 5, 2010 #2


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    I'm assuming that's ak-1 and not ak-1. Do you know what the rules are for multiplication modulo n?
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