Question

what will be the remainder if 17^200 divided by 18 using binomial expansion

Answer 1

i dont know how to do this using binomial expansion. I would use modular arithmetic though.

\[17 \equiv -1\]mod 18
so \[17^{200} \equiv (-1)^{200} = 1\]

So the remainder will be 1 when divided by 18.