AMC10 2014 10B, Problem 2

What is $\frac{2^3 + 2^3}{2^{-3} + 2^{-3}}$?

Solution: We can synchronously multiply ${2^3}$ to the expresions both above and below the fraction bar. Thus, \[\frac{2^3+2^3}{2^{-3}+2^{-3}}\\=\frac{2^6+2^6}{1+1}\\={2^6}.\] Hence, the fraction equals to $\fbox{64}$.

Answer: 64