Show that if a. b, k. and m are integers such that k ? 1,

Chapter 4, Problem 41E

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QUESTION:

Problem 41E

Show that if a. b, k. and m are integers such that k ≥ 1, m ≥ 2, and a ≡ b (mod m), then ak bk(mod m).

Questions & Answers

QUESTION:

Problem 41E

Show that if a. b, k. and m are integers such that k ≥ 1, m ≥ 2, and a ≡ b (mod m), then ak bk(mod m).

ANSWER:

Solution:

Step 1

In this problem we have to show that if a. b, k. and m are integers such that

 k ≥ 1, m ≥ 2, and a ≡ b (mod m),

 then ak bk(mod m).

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