2021 AMC 12A Problem 1

Problem 1 of 25EasierAlgebra

What is the value of

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,

so the first term is

2^6 = 64.

The parenthesized sum is

2 + 4 + 8 = 14.

Therefore the value is

64 - 14 = 50.

Thus, the correct answer is B.

Concepts: exponent · order of operations

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