The rate constant and reaction orders of the rate law are determined mathematically when given our reactant concentrations and initial rates. Now this is the sequence that you have to use in order to solve all of the components of the write log. The first thing that we can solve are our reaction orders.
So now once you have your reaction orders determined, you can use that information to determine your rate constant K, and then once you have that, you can then determine your new rate. So if you're given a question where they're giving you information on the reacting, concentration, and initial rates, and they want you to find your rate constant K, you can't just skip to rate constant K. You have to first find your reaction orders.
Once you do that, then you can find K. If they give you reacting concentrations and initial rates and ask you to find your new rate, you can't just skip all the way to new rate. You have to do reaction orders to find your rate constant and then you can find your new rate. So keep this in mind anytime we're asked to deal with any calculations dealing with rate law determination.