The reaction rate law for the given reaction can be written as:Rate = k[A]^m[B]^nwhere Rate is the reaction rate, k is the rate constant, [A] and [B] are the concentrations of reactants A and B, and m and n are the orders of the reaction with respect to A and B, respectively.According to the problem, the rate varies with A to the power of 0.5 and B to the power of 1. So, m = 0.5 and n = 1.Therefore, the reaction rate law for this reaction is:Rate = k[A]^0.5[B]^1