\(\frac{3\cdot4\cdot2^4\cdot3\cdot4\cdot2^4}{5\cdot2^5\cdot4-16}\)
\(=\frac{2^{12}\cdot3^2}{2^7\cdot5-2^4}\)
\(=\frac{2^{12}\cdot3}{2^4\left(2^3\cdot5-1\right)}\)
\(=\frac{8\cdot3}{40-1}\)
\(=\frac{2^8\cdot3}{39}\)
\(=\frac{2^8\cdot3}{3\cdot13}\)
\(=\frac{2^8}{13}\)