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

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

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