What will be remainder when 17200 is divided by 18?

When n is even. ( x ⁿ - a ⁿ ) is completely divisibly by ( x + a )

(17²⁰⁰ - 1²⁰⁰) is completely divisible by (17 + 1), i.e., 18.

⟹    (17²⁰⁰ - 1) is completely divisible by 18.

⟹    On dividing 17²⁰⁰ by 18, we get 1 as remainder.