Consider the group Z 5 with the operation addition mod 5 2 3 mod 5 in this group is 1 2 3 mod 5 2 2 2 mod 5 6 mod 5 1

Question

Consider the group Z 5 with the operation addition mod 5  2 3 mod 5 in this group is 1  2 3 mod 5   2 2 2 mod 5   6 mod 5   1

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Question: Consider the group Z_5 with the operation addition mod 5. 2^3 mod 5 in this group is 1. 2^3 mod 5 = 2+2+2 mod 5