When 17 200 divided by 18, find the remainder.

We know that, ( x^m - a^m ) is divisible by ( x + a ), for even value of m.
∴ 17²⁰⁰ - 1²⁰⁰ is divisible by 17 +1
⇒ 17²⁰⁰ - 1 is divisible by 18.
Hence when 17²⁰⁰ divided by 18 the remainder is 1.