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2009 AMC 10AProblem 13P11-15~2 minPrint
Exponents, Logarithms & RadicalsSet up the equation/formula and compute; no special trick neededTest small/specific values or special cases to find or verify the answer

Suppose that P=2mP = 2^m and Q=3nQ = 3^n . Which of the following is equal to 12mn12^{mn} for every pair of integers (m,n)(m,n) ?

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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.