Chance me?

[surfer2009]

<p>

It is also known that a non-integer raised to any rational power is a non-integer.

</p>

<p>The simplest counterexample is sqrt(2)^2. Or any number of the form [a^(p/q)]^(q/p)=a (a,p,q all positive integers) where [a^(p/q)] is your non-integer and (q/p) your rational power.</p>