the rate expression:Rate = k[A]$^\frac{1}{2}$[B]$^\frac{3}{2}$The order with respect to A is $\frac{1}{2}$ and with respect to B is $\frac{3}{2}$. $\\$ The overall order is obtained by summing the exponents: \(\frac{1}{2} + \frac{3}{2} = 2\).