Question

What is the reminder when 90^91 is divided by 13.

Answer 1

12

Answer 2

yeah the remainder is 12
pricidure is as follows
if we devide 90 by 13, we get the remainder as (-1) or 12, since it is easier to use (-1), we will take it.
now remainders work quite amazingly, like all other operations---- that is the remainder u get by deviding 90^91 by 13 is equal to the remainder obtainded by deviding 90 by 13, and raise the power given.
so the remainder will be (-1)^91=(-1)
now remainder -1 or 12 is the same thing, so answer is 12