Question

find the remainder when (9^10+6) is divided by 8​

Answer 1

Answer:

If (x±1)ⁿ is divided by x,the remainder is (±1)ⁿ.

Now 9^6 - 11 = (8+1)^6 - 11

When it is divided by 8, remainder is

= + 1 – 11 = – 10

When – 10 is divided by 8, remainder = – 2

i.e. – 2 + 8 = 6