OK this is a problem I've thought of for a long time (good time to get it checked yeah). My textbook says when a forward reaction dominates a reverse (high K) the products are usually more stable so the system tends towards them. But then exothermic = more stable products. But then not all reactions with high K are exothermic. So what exactly do they mean by more stable?
I'm not quite sure about the high K = exothemic statement, however, let's think about an enthalpy graph.
Now, the peak of the graph is called the "activated complex", and that is VERY UNSTABLE, and decomposes into the products. In terms of enthalpy, it has high enthalpy and low stability.
Now, let's consider something like C6H12O6 and oxygen to give us water and carbon dioxide. Think about CO2, it has a lower enthalpy than glucose and oxygen. Now as things in and of itself, carbon dioxide is very stable - (how often have you heard of "highly reactive CO2").
Now, we notice a trend. Things with high enthalpy have low stability and vice versa.
And to answer your question, the products of an exo reaction, which is of lower enthalpy than the reactants are MORE STABLE.
