  We find an exact solution to strongly-coupled matrix models with a
single-trace monomial potential. Our solution yields closed form expressions
for the partition function as well as averages of Schur functions. The results
are fully factorized into a product of terms linear in the rank of the matrix
and the parameters of the model. We extend our formulas to include both
logarthmic and finite-difference deformations, thereby generalizing the
celebrated Selberg and Kadell integrals. We conjecture a formula for
correlators of two Schur functions in these models, and explain how our results
follow from a general orbifold-like procedure that can be applied to any
one-matrix model with a single-trace potential.
