Answer
Order with respect to X=1
Order with respect to y=-2
Order with respect to Z=0
Overall order= -1
Work Step by Step
Since $[X]$ is raised to the 1st power, the reaction is first-order in X.
$[Y]$ is raised to the $-2$ power, so the order of the reaction with respect to Y is -2.
$[Z]$ is raised to the 0th power, so the reaction is zero-order in Z.
Overall order= Sum of the orders for all substances=1+(-2)+0=-1.