The remainder left out when `8^(2n) - (62)^(2n+1)` is divided by `9` is:

The remainder when (2^(54) - 1) is divided by 9 is :

If n is natural number,then find the remainder when (37)^(n+2)+(16)^(n+1)+(30)^(n) is divided by 7.

The remainder when 6^(n) - 5n is divided by 25, is

Let f (n)=(4n + sqrt(4n ^(2) +1))/( sqrt(2n +1 )+sqrt(2n-1)),n in N then the remainder when f (1) + f (2) + f (3) + ..... + f (60) is divided by 9 is.

Find the remainder when (2)^(111) is divided by 9.