  We obtain exact solutions for the Einstein equations with an
exponential-potential scalar field (\(V=\Lambda e^{k\phi}\)) which represent
simple inhomogeneous generalizations of Bianchi I cosmologies. Studying these
equations numerically we find that in most of the cases there is a certain
period of inflationary behaviour for \(k^2<2\). We as well find that for
\(k^2>2\) the solutions homogenize generically at late times. Yet, {\em none of
the solutions} isotropize. For some particular values of the integration
constants we find a multiple inflationary behaviour for which the deceleration
and the inflationary phases interchange each other several times during the
history of the model.
