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2022 AMC 10A Problem 11

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2022 AMC 10A Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Exponents, Logarithms & Radicals · difficulty 2 of 5 · about 3 min · position P11-15

Ted mistakenly wrote 2m⋅140962^m\cdot\sqrt{\frac{1}{4096}} as 2⋅14096m.2\cdot\sqrt[m]{\frac{1}{4096}}. What is the sum of all real numbers mm for which these two expressions have the same value?

  1. A)

    55

  2. B)

    66

  3. C)

    77

  4. D)

    88

  5. E)

    99

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