Difference between revisions of "2000 AMC 8 Problems/Problem 14"
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Revision as of 01:15, 20 June 2011
Even powers of 19 have a units digit of 1, and odd powers of 19 have a units digit of 9. So, 19^19 has a units digit of 9. Powers of 99 have the exact same property, so 99^99 also has a units digit of 9. 9+9=18 which has a units digit of 8, so the answer is D.