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2009 AMC 10A Problem 13

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2009 AMC 10A Problem 13AMC 10 Step by Step
Name:                             Date: September 13, 2026
Exponents, Logarithms & Radicals · difficulty 2 of 5 · about 2 min · position P11-15

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) ?

  1. A)

    P2QP^2Q

  2. B)

    PnQmP^nQ^m

  3. C)

    PnQ2mP^nQ^{2m}

  4. D)

    P2mQnP^{2m}Q^n

  5. E)

    P2nQmP^{2n}Q^m

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