Question: (a) Show that for all [a] Z7, if [a] [0], then [a]6 = [1], (b) Let n Z+ with ged(n, 7) =

(a) Show that for all [a] ∈ Z7, if [a] ≠ [0], then
[a]6 = [1],
(b) Let n ≠ Z+ with ged(n, 7) = 1. Prove that
7|(n6 - 1).

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