We will study the cosmological implications of the five dimensional scalar-vector and scalar-Kalb-Ramond model. In particular, a new set of Bianchi type I power-law analytic solution will be obtained for this model. The cosmic no-hair conjecture can be shown to break down in the presence of the scalar-vector and scalar-Kalb-Ramond couplings. The effect of the Kalb-Ramond field in the presence of the power-law solution will be shown explicitly. We will also show that the presence of a phantom field does, however, destabilize the corresponding Bianchi type I power-law inflationary solutions.