ranksbree9xkenzig4 ranksbree9xkenzig4

11-11-2016
Mathematics

contestada

How do I determine 8^402 mod 5?

Respuesta :

pkmnmushy pkmnmushy

15-11-2016

It would be a great idea to narrowing it down to (2^3)^134 mod 5. now it is easier cause 8 = 3 (mod 5), let's compute 3^402 (mod 5).
3^4 = 81 = 1 (mod 5).
Therefore, 3^402 = (3^4)^100 * 2^2 = 1^100 * 4 = 4 (mod 5).

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