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2015 AMC 10B Problems/Problem 1

Revision as of 14:37, 3 March 2015 by Hesa57 (talk | contribs) (Created page with "==Problem== What is the value of <math>2-(-2)^{-2}</math>? <math>\textbf{(A) } -2\qquad\textbf{(B) } \dfrac{1}{16}\qquad\textbf{(C) } \dfrac{7}{4}\qquad\textbf{(D) } \dfrac{9...")

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Problem

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

$\textbf{(A) } -2\qquad\textbf{(B) } \dfrac{1}{16}\qquad\textbf{(C) } \dfrac{7}{4}\qquad\textbf{(D) } \dfrac{9}{4}\qquad\textbf{(E) } 6$

Solution

$2-(-2)^{-2}=2-\frac{1}{(-2)^2}=2-\frac{1}{4}=\frac{8}{4}-\frac{1}{4}=\boxed{\textbf{(C) }\frac{7}{4}}$

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