Answer
$61$
Work Step by Step
Simplify. $[3+(27^{2/3} +32^{2/5}]^{3/2}-9^{1/2}$
This can be written as:
$[3+(27^{2/3} +32^{2/5}]^{3/2}-9^{1/2}=[3+(3^3)^{2/3} +(2^5)^{2/5}]^{3/2}-9^{1/2}$
and $=[16]^{3/2}-9^{1/2}$
or, $=64-3$
or, $=61$