  We consider a class of generalized FRW type metrics in the context of higher
dimensional Einstein gravity in which the extra dimensions are allowed to have
different scale factors. It is shown that noncommutativity between the momenta
conjugate to the internal space scale factors controls the power-law behavior
of the scale factors in the extra dimensions, taming it to an oscillatory
behavior. Hence noncommutativity among the internal momenta of the
mini-super-\emph{phase}-space can be used to explain stabilization of the
compactification volume of the internal space in a higher dimensional gravity
theory.
