POW #3: Rational or Irrational?

Do there exist irrational numbers a and b such that a^b is rational? Justify your answer. (Note: "Justify" means you either have to prove no such numbers exist, or you have to prove that your choices of a and b are actually irrational numbers, while a^b is rational.)

Return solutions ON PAPER to Laura Taalman, Burruss 127, by 9/22/04.
Make sure it is clear how you arrived at your answer.
Include your name and email address with your solution.