Certain quantum mechanical systems with a discrete spectrum, whose
observables are given by a transseries in $\hbar$, were shown to admit
$\hbar_0$-deformations with Borel resummable expansions which reproduce the
original model at $\hbar_0=\hbar$. Such expansions were dubbed Exact
Perturbation Theory (EPT). We investigate how the above results can be obtained
within the framework of the exact WKB method by studying the spectrum of
polynomial quantum mechanical systems. Within exact WKB, energy eigenvalues are
determined by exact quantization conditions defined in terms of Voros symbols
$a_{\gamma_i}$, $\gamma_i$ being their associated cycles, and generally give
rise to transseries in $\hbar$. After reviewing how the Borel summability of
energy eigenvalues in the quartic anharmonic potential emerges in exact WKB, we
extend it to higher order anharmonic potentials with quantum corrections. We
then show that any polynomial potential can be $\hbar_0$-deformed to a model
where the exact quantization condition reads simply $a_\gamma=-1$ and leads to
the EPT Borel resummable series for all energy eigenvalues.
