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2008 AMC 10AProblem 24P21-25~4 minPrint
Modular ArithmeticExponents, Logarithms & RadicalsCompute small cases, spot the pattern, generalize

Let k=20082+22008k={2008}^{2}+{2}^{2008} . What is the units digit of k2+2kk^2+2^k ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.