Use modulo reduction of the base, if applicate, and the power decomposition calculations on congruences, to calculate the least non-negative residue (or equivalently the congruence class) of the folowing: 8052^403 mod 5

ankarskogC 2020-11-08 Answered
Use modulo reduction of the base, if applicate, and the power decomposition calculations on congruences, to calculate the least non-negative residue (or equivalently the congruence class) of the folowing:
8052403mod5
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Expert Answer

berggansS
Answered 2020-11-09 Author has 91 answers
Given that 8052403
This can be rewritten as,
8052403(8050+2)403
2403mod5
So, the equation can be rewritten as,
80524032402(2)mod5
4201(2)mod5
=(51)201(2)mod5
1201(2)mod5
2mod5
(52)mod5
3mod5
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