  The exact solutions in the standard inflationary model based on the
self-interacting scalar field minimally coupled to gravity are considered. The
shape's freedom of the self-interacting potential $V(\phi)$ is postulated to
obtain a new set of the exact solutions in the framework of
Friedmann-Robertson-Walker Universes. The general solution was found in the
case of power law inflation. We obtained new solutions and compared them with
obtained ones earlir for the exponential type inflation.
