  We present a study of the impact of the expansion of deconfined medium on
single-gluon emission spectra and the jet suppression factor ($Q_{AA}$) within
the BDMPS-Z formalism. These quantities are calculated for three types of media
(static medium, exponentially decaying medium and Bjorken expanding medium).
The distribution of medium-induced gluons and the jet $Q_{AA}$ are calculated
using the evaluation of in-medium evolution with splitting kernels derived from
the gluon emission spectra. Scaling behavior of splitting kernels is derived
for low-x and high-x regimes in the asymptote of large times and its impact on
the resulting jet $Q_{AA}$ is discussed. For the full phase space of the
radiation, the scaling of jet $Q_{AA}$ with an effective quenching parameter is
presented.
