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Mathematics 17 Online
OpenStudy (anonymous):

What is the remainder when 3^2008 is divided by 5? Show me your work please

OpenStudy (anonymous):

1,2,3 or 4

OpenStudy (phi):

One way is rewrite this as (3^4)^502, or 81^502 and 81 mod 5 is 1 so 1^502= 1

OpenStudy (anonymous):

remainder is 1 Remainder for 3^2/5 is 4 3^4/5 is 1 3^6/5 is 4 3^8/5 is 1 ........ ....... So for power of multiples of 4, remainder is 1.

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