Problem of the Week-3: Irrational to the Irrational Power

Prove or disprove the following statement: An irrational power of an irrational number irrational, i.e whenever a, b are irrrational numbers then so is

Posted: 2/13/05

Submit your answers (by e-mail or hard copy) before 4 pm on 2/25/05 to Noah Aydin.

Mathematics Dept.