JMO divisibility

What is the remainder when 17²⁰⁰ is divided by 18 ?

JMO STD VII and STD VIII

Answer:

(17200 - 1200) is completely divisible by (17 + 1) as 200 is even.

So, (17200 - 1200) is completely divisible by 18.

So, (17200 - 1200) / 18 = Q  (where Q= quotient)

So, 17200 = 18 Q + 1

So, Remainder = 1