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Certain quantum mechanical systems with a discrete spectrum, whoseobservables are given by a transseries in $\hbar$, were shown to admit$\hbar_0$-deformations with Borel resummable expansions which reproduce theoriginal model at $\hbar_0=\hbar$. Such expansions were dubbed ExactPerturbation Theory (EPT). We investigate how the above results can be obtainedwithin the framework of the exact WKB method by studying the spectrum ofpolynomial quantum mechanical systems. Within exact WKB, energy eigenvalues aredetermined by exact quantization conditions defined in terms of Voros symbols$a_{\gamma_i}$, $\gamma_i$ being their associated cycles, and generally giverise to transseries in $\hbar$. After reviewing how the Borel summability ofenergy eigenvalues in the quartic anharmonic potential emerges in exact WKB, weextend it to higher order anharmonic potentials with quantum corrections. Wethen show that any polynomial potential can be $\hbar_0$-deformed to a modelwhere the exact quantization condition reads simply $a_\gamma=-1$ and leads tothe EPT Borel resummable series for all energy eigenvalues.

An anharmonic alliance: exact WKB meets EPT