m≥ 2 is an integer; a and b are integers each; (a, m) = (b, m) = 1; Let h be the exponent of a according to mod m, the exponent of b according to mod m and (h, k) = 1. In this case, show that the exponent of the integer a.b with respect to mod m is h.k.
m≥ 2 is an integer; a and b are integers each; (a, m) = (b, m) = 1; Let h be the exponent of a according to mod m, the exponent of b according to mod m and (h, k) = 1. In this case, show that the exponent of the integer a.b with respect to mod m is h.k.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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m≥ 2 is an integer; a and b are integers each; (a, m) = (b, m) = 1; Let h be the exponent of a according to mod m, the exponent of b according to mod m and (h, k) = 1. In this case, show that the exponent of the integer a.b with respect to mod m is h.k.
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