The remainder when 3 raised to 16 is divided by 17 is a and the remainder when 5 raised to 81 is divided by 17 is b. Find a+b.
1] 26
2]6
3]15
4]5
3^16 mod 17 is 1 so the value of a is 1
5^16 mod 17 1
5^80 mod 17 is 1
hence 5^81 mod 17 is 5 which is the value of b
hence a+b = 1+5 = 6