Question

find the remainder when 9 to the power by 6 is divided by 8​

Answer 1

Answer:

Step-by-step explanation:

9^6 = 531441

9^6/8 = 66430.125

Answer 2

Answer:

1

Step-by-step explanation:

9 leaves a remainder of 1 when divided by 8, so every power of 9 leaves a remainder of 1 when divided by 8.

9 = 8 + 1

9² = (8+1)(8+1) = 81 = 8×10 + 1

9³ = ( 8×10 + 1 ) ( 8 + 1 ) = 8²×10 + 8×10 + 8 + 1 = 8a + 1

9⁴ = ( 8a + 1 ) ( 8 + 1 ) = 8²a + 8a + 8 + 1 = 8b + 1

9⁵ = ( 8b + 1 ) ( 8 + 1 ) = 8²b + 8b + 8 + 1 = 8c + 1

etc