# Is Pi to the power of Euler's Number Rational?

## Open Question

It is not known whether $\pi$(pi) to the power of Euler's number $e$:

$\pi^e$

is rational or irrational.

Its decimal expansion gives its value to be approximately:

$\pi^e \approx 22 \cdotp 45915 \, 77183 \, 61045 \, 47342 \, 7152 \ldots$