What is the value of \[\frac{2^{2014}+2^{2012}}{2^{2014}-2^{2012}}?\]
$\textbf{(A)}\ -1\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ \frac{5}{3}\qquad\textbf{(D)}\ 2013\qquad\textbf{(E)}\ 2^{4024}$
$\frac{2^{2014}+2^{2012}}{2^{2014}-2^{2012}}$
We can factor a ${2^{2012}}$ out of the numerator and denominator to obtain
$\frac{2^{2012}*(2^2+1)}{2^{2012}*(2^2-1)}$
The ${2^{2012}}$ cancels, so we get 
$\frac{(2^2+1)}{(2^2-1)}=\frac{5}{3}$, which is $C$