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2021 AMC 12A Problem 1

Problem 1 of 25EasierArithmetic

What is the value of 21+2+3−(21+22+23)? 2^{1+2+3} - \left(2^1 + 2^2 + 2^3\right)?

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Solution

The exponent in the first term is 1+2+3=6,1+2+3 = 6, so the first term is 26=64.2^6 = 64. The parenthesized sum is 2+4+8=14.2 + 4 + 8 = 14. Therefore the value is 64−14=50.64 - 14 = 50. Thus, the correct answer is B.
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