$\displaystyle {2}^{p}+3^{p}={a}^{n}$ where p,a and n are positive integers $\displaystyle \Longrightarrow $ n=1.

An earlier problem requires p to be prime numbers:

http://www.mathhelpforum.com/math-he...nt-183464.html

Here we drop the prime number requirement. Conclusion still true?

I'm just curious I know very few results in number theory! Do we already have ready results for this?