Find the remainder when 5^2009 + 13^2009 [2009 is the exponent] is divided by 18

Dear Student

 

Following is the solution of your question 5²⁰⁰⁹+13²⁰⁰⁹ is of the form aⁿ+bⁿ  which is divisible by (a+b) if n is odd. here 2009 is an odd number so 5²⁰⁰⁹+13²⁰⁰⁹  will leave a remainder of 0 when divided by zero.

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Team Topperlearning