Mellin Transform of Higher Order Exponential

Theorem
Let $a$ be a complex constant.

Let $n$ be a natural number.

Let $e^t$ be the complex exponential of $t$.

Let $\MM$ be the Mellin transform.

Then:
 * $\map {\MM \set {e^{-a t^n} } } s = \dfrac {a^{-s/n} } n \map \Gamma {\dfrac s n}$

where $\map \Gamma z$ is the Gamma function and $\map \Re a$, $\map \Re s > 0$.