Little fermat rule's related problem

What is the remainder when 7 8 7^8 is divided by 9 9 ?

4 3 0 1 7 5 2 6

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1 solution

Aaryan Maheshwari
Jun 28, 2019

7 8 ( 2 ) 8 ( m o d 9 ) 1 6 2 ( m o d 9 ) ( 2 ) 2 ( m o d 9 ) 4 ( m o d 9 ) 7^8\equiv(-2)^8 \pmod9\equiv16^2\pmod9\equiv(-2)^2\pmod9\equiv4\pmod9

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