  In the present work we compute the spectrum of quasinormal frequencies of
four-dimensional charged black holes in Einstein-power-Maxwell theory. In
particular we study scalar perturbations adopting the 6th order WKB
approximation. We analyze in detail the behaviour of the spectrum depending on
the charge of the black hole, the quantum number of angular momentum and the
overtone number. In addition, a comparison is made between the results obtained
here and the results valid for charged black holes in other theories as well as
for the Reissner-Nordstr${\"o}$m black hole. Finally, we have provided an
analytical expression for the quasinormal spectrum in the eikonal limit.
