Assume that the order of a modulo n is h and the order of b modulo n is k. Show that

Chapter 8, Problem 4

(choose chapter or problem)

Assume that the order of a modulo n is h and the order of b modulo n is k. Show that theorder of ab modulo n divides hk; in particular, if gcd(h, k) = 1, then ab has order hk.

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