Radical Mad

Algebra Level 3

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

(x+y+z+a+b2)x+y+z+a+b23\large (x+y+z+a+b-2)^{\frac {\sqrt{x+y+z+a+b-2}} 3}

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