  Models of chaotic inflation with a fractional power-law potential are not
only viable but also testable in the foreseeable future. We show that such
models can be realized in simple strongly coupled supersymmetric gauge
theories. In these models, the energy scale during inflation is dynamically
generated by the dimensional transmutation due to the strong gauge dynamics.
Therefore, such models not only explain the origin of the fractional power in
the inflationary potential but also provide a reason why the energy scale of
inflation is much smaller than the Planck scale.
