What are m and n in the rate law equation rateK(A)m(B)n?

In the rate law equation ( \text{rate} = k[A]^m[B]^n ), ( m ) and ( n ) represent the reaction orders with respect to reactants ( A ) and ( B ), respectively. These values indicate how the rate of the reaction changes in response to changes in the concentrations of the reactants. They are determined experimentally and can be whole numbers or fractions, reflecting the complexity of the reaction mechanism.