2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130182We establish quantum and classical exact solvability for two large classes of maximally superintegrable Benenti systems in $n$ dimensions with arbitrarily large $n$. Namely, we solve the Hamilton--Jacobi and Schrödinger equations for the systems in question. The results obtained are illustrated for a model with the cubic potential.15 pages, LaTeX 2e, no figures; in the updated version a number of typos were fixed and other minor changes were madeExactly Solvable and Integrable SystemsMathematical Physicstext