Problem: What is the value of 2−(−2)−22-(-2)^{-2}2−(−2)−2 ?
Answer Choices:
A. −2-2−2 B. 116\dfrac{1}{16}161 C. 74\dfrac{7}{4}47 D. 94\dfrac{9}{4}49 E. 666 Solution:
Answer (C)(\mathrm{C})(C) :
2−(−2)−2=2−1(−2)2=2−14=742-(-2)^{-2}=2-\dfrac{1}{(-2)^{2}}=2-\dfrac{1}{4}= \boxed{\dfrac{7}{4}} 2−(−2)−2=2−(−2)21=2−41=47
The problems on this page are the property of the MAA's American Mathematics Competitions