Re: HSC 2012 Marathon :)
Consider A=5, B=2, B^A>A^B. Now consider A=3, B=2, A^B><b^a. now="" consider="" a="3," b="2," a^b="">B^A. Therefore conditions must be placed to satisfy the inequalities. Unfortunately I don't have time now to work it out- I'll try it tomorrow though because it looks...