Answer
Order with respect to X= 1.5
Order with respect to Y= -1
Order with respect to Z=0
Overall order= 0.5
Work Step by Step
Since $[X]$ is raised to the 1.5 power, the reaction is 1.5-order in X.
$[Y]$ is raised to the $-1$ power, so the order of the reaction with respect to Y is -1.
$[Z]$ is raised to the 0th power, so the reaction is zero-order in Z.
Overall order= Sum of the orders for all substances=1.5+(-1)+0=0.5
