Question: Determine the identity elements for + and in the field Z / 5 Z with + and mod 5 . Determine the field characteristic and

Determine the identity elements for + and in the field Z/5Z with + and mod 5.
Determine the field characteristic and verify that the Fifth Graders Dream,
(a + b)^5= a^5+ b5^,
holds for this field for any two elements a, b in the field that you like.

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