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:
2−(−2)−2=2−1(−2)2=2−14=(C)742-(-2)^{-2}=2-\dfrac{1}{(-2)^{2}}=2-\dfrac{1}{4}=(\text{C})\boxed{\dfrac{7}{4}} 2−(−2)−2=2−(−2)21=2−41=(C)47
The problems on this page are the property of the MAA's American Mathematics Competitions