Question: Let n be a fixed positive integer greater than 1 . If a mod n 5 a 9 and b mod n 5 b 9

Let n be a fixed positive integer greater than 1. If a mod n 5 a9 and
b mod n 5 b9, prove that (a 1 b) mod n 5(a91 b9) mod n and (ab)
mod n 5(a9b9) mod n.(This exercise is referred to in Chapters 6,
8,10, and 15.)

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