Can an irrational number, raised to an irrational power, give a rational result?

Yes, it is possible whereby an irrational number, raised to an irrational power, generates a rational result. Some examples are :

e^(ln 2) = 2, e^(ln 3) = 3, e^(ln 4) = 4, e^(ln 0.5) = 0.5, e^(ln 0.25) = 0.25,............, and so on.

Edited on January 22, 2008, 4:09 am

Posted by K Sengupta on 2008-01-22 04:05:18