Thursday, July 22, 2010

What is the remainder when 9^6 - 11 divided by 8?

plz b fast.......i stuck up at this question....
9 = 1 (mod 8)



right? Well, then:



9^6 = 9 * 9 * 9 * 9 * 9 * 9 = 1 * 1 * 1 * 1 * 1 * 1 = 1 (mod 8)



So:



9^6 - 11 = 1 - 3 = 6 (mod 8)
(9^6-11) / 8



=(531,441-11) / 8

=531,430 / 8

=66428.75
=

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Science & Mathematics