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2016 AMC 10BProblem 2P1-10~1 minPrint
FunctionsExponents, Logarithms & RadicalsSet up the equation/formula and compute; no special trick needed

If n♡m=n3m2n\heartsuit m=n^3m^2 , what is 2♡44♡2\frac{2\heartsuit 4}{4\heartsuit 2} ?

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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.