find the remainder when 9 to the power by 6 is divided by 8
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Answered by
2
Answer:
Step-by-step explanation:
9^6 = 531441
9^6/8 = 66430.125
Answered by
5
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
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