How to prove this congruent proof?

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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?
 
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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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