Question

what will be the remainder obtained when (9^6 + 1) is divided by 8

Answer 1

9^6 + 1 = 531442
531442 / 8 = 66430.25
Thus, remainder is 2.

Answer 2

Answer:

by using remainder theorem

(9^6+1)/8=((8+1)^6+1)/8

on expansion of (8+1)^6,there will be 7 terms in which all 6 term will be divisible by 8 only last term will be 1^6 will not be divisible so reamider will be 1 and further whole expression will be divided by 8

(1^6+1)/8=1+1=2