`\frac{3.4.2^{16}}{11.2^{13}.4^{11}-16^9}`
`=\frac{3.2^2 .2^{16}}{11.2^{13}.(2^2)^{11}-(2^4)^9}`
`=\frac{3.2^{18}}{11.2^{13}.2^{22}-2^{36}}`
`=\frac{3.2^{18}}{11.2^{35}-2^{36}}`
`=\frac{3.2^{18}}{2^{18}.(11.2^{17}-2^{18})}`
`=\frac{3}{11.2^{17}-2^{18}}`
`=\frac{3}{2^{17}.(11-2)}`
`=\frac{3}{2^{17}.9}.`
`=\frac{1}{2^{17}.3}.`