Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 4 - Section 4.1 - Divisibility and Modular Arithmetic - Exercises - Page 245: 33

Answer

a) 9 b) 4 c) 25 d) 0

Work Step by Step

a) $(99^2\quad mod\quad 32)^3 \quad mod\quad 15$ = 9 b) $(3^4 \quad mod\quad 17)^2 \quad mod\quad 11$ = 4 c) $(19^3\quad mod\quad 23)^2 \quad mod\quad 31$ = 25 d) $(89^3\quad mod\quad 79)^4 \quad mod\quad 26$ = 0
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