\(\dfrac{2^{13}+2^5}{2^{10}+2^5}\)
\(=\dfrac{2^5\cdot\left(2^8+1\right)}{2^5\cdot\left(2^5+1\right)}\)
\(=\dfrac{2^8+1}{2^5+1}\)
\(\dfrac{2^{13}+2^5}{2^{10}+2^5}\)
\(=\dfrac{2^5\left(2^8+1\right)}{2^5\left(2^5+1\right)}\)
\(=\dfrac{2^8+1}{2^5+1}\)\(=\dfrac{257}{33}\)