  Power-Law inflation with scale factor $a \propto t^m$ is investigated in the
context of warm inflation. The treatment is performed in the weak and strong
dissipation limits. In addition, we discuss the three common cases for the
thermal dissipation coefficient $\Gamma(T)$. We compare the theoretical results
of the Power-Law model within warm inflation with the observational constraints
from Planck $2018$ and BICEP/Keck 2018, as presented by the tensor-to-scalar
ratio $r$ and spectral index $n_s$. The model results agree largely with the
observations for most of the $\Gamma(T)$ cases.
  Furthermore, in order to address the problem of exiting the inflationary
epoch, we suggest a perturbed modification to the power-law definition so that
it becomes affine, and find that this small change indicates a way for having
an exit scenario with a suitable e-foldings number. Finally, we examine this
perturbation ansatz within the context of cold inflation with exponential
potential, and we find that it can accommodate the observational data with
sufficient e-foldings.
  Our study suggests that the power-law inflation and the exponential
potential, in both warm and cold inflation contexts, can in principle be made
consistent with the observations and with a possible graceful exit.
