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

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 41E Chapter 4.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 41E

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).

Step-by-Step Solution:

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).

Step 2 of 3

Chapter 4.1, Problem 41E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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