(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find: 12^9 mod71

2. Relevant equations

3. The attempt at a solution

=12(12^8) mod71

= 12mod71 x 12^8mod71

= 12 x (12^2)^4mod 71

Now i'm stuck. My teacher solved it but i dont understand what he did so can someone explain how to do it in a very basic way.?

Thank you v much.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Modular arithmetic

**Physics Forums | Science Articles, Homework Help, Discussion**