Radical Mad

Algebra Level 3

If $x^\sqrt{x}=729$ , $y^\sqrt{y}=65536$ , $z^\sqrt{z}=16$ , $x+y+z+\sqrt{a+b}=32$ and $x+y+z+\sqrt{a-b}=30$ , then find

$\large (x+y+z+a+b-2)^{\frac {\sqrt{x+y+z+a+b-2}} 3}$