  By using the gauge/gravity duality, we investigate the dual field theories of
the anisotropic backgrounds, which are exact solutions of
Einstein-Maxwell-dilaton theory with a Liouville potential. When we turn on the
bulk gauge field fluctuation $A_x$ with a non-trivial dilaton coupling, the AC
conductivity of this dual field theory is proportional to the frequency with an
exponent depending on parameters of the anisotropic background. In some
parameter regions, we find that this conductivity can have the negative
exponent like the strange metal. In addition, we also investigate another U(1)
gauge field fluctuation, which is not coupled with a dilaton field. We classify
all possible conductivities of this system and find that the exponent of the
conductivity is always positive.
