$(1$ point$)$ Completely simplify each expression:

$(2^5{2}^{-\frac{1}{2}}{)}^2=$

$(\frac{{16}^{\frac{1}{2}}{16}^{\frac{5}{3}}}{{16}^{\frac{4}{3}}}{)}^3=$

$\sqrt[\phantom{2}]{\frac{5^{3x+6}}{5^6}}=$

$($The symbol above is an $x$ th root.$)$