Big$-$Oh Sorting:

Sort the following functions in order of non$-$decreasing asymptotic growth. That is$,$ order them $f_1,f_2,f3$dots such that $f_1$inO$(f_2),f_2$inO$(f_3),$ etc. You don't need to prove it$,$ you can just show the correct order.

${10}^n,n^{\frac{1}{3}},n^n$

$lo{g}_{2}n,n^5,2^{\sqrt[\phantom{2}]{lo{g}_{2}n}}$