Question

what is the remainder when 7^30 is divided by 4 ?

Answer 1

actually it is easy to find out it's negative remainder so first of all I have to find the negative remainder so just divide 7 by 4 to 2 times so u will get the 1 as a negative remainder........

7^30 divided by 4,

(-1)^30,

1,



here one more approach is possible if u find the unit place digit of 7^30 then unit place digit will be 9,

so if we divide 9/4 then we get 1 as a remainder......