The classical Powell method to obtain reaction orders has the inconvenience that it cannot discriminate between close reaction orders. We present here a computer program based upon Powell's method, to find the reaction order, the rate constant, and the half-life time for a reaction. It can discriminate between orders as small as 0.1. Also, it eliminates the original method's tedious procedure of graphical representation. First we present the kinetic problem; then Powell's method is reviewed, the computer program is introduced, and finally, study cases are analyzed.