We study a model of power-law inflationary inflation using the Space-Time-Matter ( STM ) theory of gravity for a five dimensional ( 5D ) canonical metric that describes an apparent vacuum .
In this approach the expansion is governed by a single scalar ( neutral ) quantum field .
In particular , we study the case where the power of expansion of the universe is p \gg 1 .
This kind of model is more successful than others in accounting for galaxy formation .