HOW to find remainder 7^1000 mod 24 using Fermat's Theorem

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Group Theory: Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphism, and basic concepts of quotient groups.

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remainder 7^1000 mod 24 Fermat's Theorem Number Theory Congruence modulo BHU PET 2016 Mathematics
HOW to find remainder 7^1000 mod 24 using Fermat's Theorem

En BHU PET 2016, 4
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It is easier with binomial.

7 to the power 100

Is 49 to 50
(48+1)^50 ....then remainder is 1

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