Q$1$: Assuming the security parameter to be $n,$ decide whether the

following functions are negligible in $n$ or not, and briefly explain

why. $(2$ points each$)$

$e^{-lo{g}_2{n}^{100}}$

${1000}^{-100}$

$\frac{n^{89508074}}{2^{2n}}$

${100}^{-lo{g}_{2}n}$

$n^{-lo{g}_{2}n}$