Simplify the expression $\left(\frac{\left(\frac{2}{3}\right)^4\left(\frac{3}{2}\right)^2}{2\left(\frac{1}{3}\right)^2}\right)^2$

$\frac{1}{2}+52+8$

$\frac{1}{2}\cdot\left(128-84\right)+128-84-\frac{1}{2}\cdot\left(128-84\right)$

$\frac{1}{3}\sqrt{2}-\frac{2}{1-\sqrt{2}}+\frac{3}{\sqrt{2}+1}$

$3\sqrt{2}+5\sqrt{2}-\frac{1}{2}\sqrt{3}+8\sqrt{2}$

$\left(10+\frac{\frac{3599}{1000}}{1}\right)\left(1-\frac{21}{500}\right)$

$\left(\sqrt{2}\sqrt{13+\sqrt{7}}-2\sqrt{5-\sqrt{7}}\right)\cdot\frac{1}{\sqrt{3-\sqrt{7}}}$

$2+2+6$