SOLUTION: Whaqt is the remainder when 2008^2007 is divided by 5
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Question 118663: Whaqt is the remainder when 2008^2007 is divided by 5
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
look at the units digit for powers of 8
8^1=8
8^2=64
8^3=512
8^4=4096
8^5=32768 ___ same units digit as 8^1 ___ the units digit repeats in a 4 number pattern 8-4-2-6
2007 divided by 4 leaves a remainder of 3 ___ so the units digit of 2008^2007 is 2
___ this is the remainder when 2008^2007 is divided by 5
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