# Math Help - Binomial Theorem:-

1. ## Binomial Theorem:-

Find the remainder when 5^99 is divided by 13.

2. By Fermats little $5^{12} \equiv 1 \pmod {13}$ so $5^{99}=5^{12 \cdot 8}\cdot 5^{3} \equiv 5^3 \pmod{13}$
It's left to find the rest for $5^3$ when it's divided by 13 and I leave this to you.