Calculation of Rate Change in Chemical Kinetics

In a laboratory experiment, the reaction between substance A (with a concentration of 0.8 M) and substance B (with a concentration of 0.2 M) was monitored over time to investigate the rate law for the reaction, which was hypothesized to be of the form:

Rate = k[A]^{m}[B]^{n}

The reaction was found to be first order with respect to substance A and second order with respect to substance B. A new experiment was conducted in which the concentration of substance B was doubled to 0.4 M while maintaining the concentration of substance A at 0.8 M. If the original rate of the reaction (at 0.2 M concentration of B) was measured to be 0.016 M/s, what will be the new rate of the reaction after the change in concentration of substance B?