IsARadicalFunctionOfWholePowersOfTheExponential​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable)

Whether expr holds t only in exponentials
e^(k t + a) with a whole k, some of them under a power that is not
whole: a radical function of whole powers of e^t. At t = s + i pi,
where a substitution t = ln(c x^n) lands for a negative c x^n, it is the
same function of -e^s, real again wherever its radicands are positive; and an
integral of it in t is found for a real t, under which e^t is
positive and gives up its powers from under a root.