**Problem 3:**

Let $a$ be an integer. The number $m$ which has the form $m = 4a + 3$ is a multiple of $11$. If we divide $a^4$ By $11$, what is the remainder? Show with proof.

Let $a$ be an integer. The number $m$ which has the form $m = 4a + 3$ is a multiple of $11$. If we divide $a^4$ By $11$, what is the remainder? Show with proof.

"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

Please**install LaTeX fonts** in your PC for better looking equations,

**learn** **how to write equations**, and **don't forget **to read Forum Guide and Rules.

Please

- samiul_samin
**Posts:**1007**Joined:**Sat Dec 09, 2017 1:32 pm