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2021 AMC 10A Problem 10

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2021 AMC 10A Problem 10AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 2 of 5 · about 2 min · position P1-10

Which of the following is equivalent to (2+3)(22+32)(24+34)(28+38)(216+316)(232+332)(264+364)?(2+3)(2^2+3^2)(2^4+3^4)(2^8+3^8)(2^{16}+3^{16})(2^{32}+3^{32})(2^{64}+3^{64})?

  1. A)

    3127+21273^{127} + 2^{127}

  2. B)

    3127+2127+2⋅363+3⋅2633^{127} + 2^{127} + 2 \cdot 3^{63} + 3 \cdot 2^{63}

  3. C)

    3128−21283^{128}-2^{128}

  4. D)

    3128+21283^{128} + 2^{128}

  5. E)

    51275^{127}

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