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2015 AMC 12B Problem 1

Problem 1 of 25EasierAlgebra

What is the value of 2−(−2)−2?2 - (-2)^{-2}?

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Solution

Since (−2)−2=1(−2)2=14,(-2)^{-2} = \dfrac{1}{(-2)^2} = \dfrac14, we get 2−14=74.2 - \dfrac14 = \dfrac74. Thus, the correct answer is C.

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Concepts: exponent · order of operations

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.