I'm stuck on a problem that I thought would be easy. It goes like this:
Prove or disprove that if a and b are rational numbers, then (a^b) is also rational.
I thought I could do it by using proof by cases in which I changed the values of a and b with rational and irrational numbers, but obviously that didn't work because you can't prove EVERY case by doing this. I don't know what to do now, so ANY help would REALLY help. Thanks!!