AMC10 2014 B
AMC10 2014 B · Q2
AMC10 2014 B · Q2. It mainly tests Exponents & radicals.
What is $\frac{2^{3} + 2^{3}}{2^{-3} + 2^{-3}}$?
What is $\frac{2^{3} + 2^{3}}{2^{-3} + 2^{-3}}$?
(A)
16
16
(B)
24
24
(C)
32
32
(D)
48
48
(E)
64
64
Answer
Correct choice: (E)
正确答案：（E）
Solution
Note that $\frac{2^{3} + 2^{3}}{2^{-3} + 2^{-3}} = 2 \cdot \frac{2^{3}}{2 \cdot 2^{-3}} = 2^{6} = 64$.
注意到 $\frac{2^{3} + 2^{3}}{2^{-3} + 2^{-3}} = 2 \cdot \frac{2^{3}}{2 \cdot 2^{-3}} = 2^{6} = 64$。
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