In 1980, Askold Khovanskii established his fewnomial bound for the number of real solutions to a system of polynomials, thereby showing that the complexity of real solutions to a polynomial system depends upon the number of monomials and not the degree. This fundamental finiteness result in real algebraic geometry was proven by induction on the number of monomials and the bound is unrealistically large. I will report on joint work with Frederic Bihan on a new fewnomial bound which is substantially lower than Khovanskii's bound. This bound is obtained by first reducing a given system to a Gale system, which comes from the Gale dual to the exponent vectors in the original system, and then bounding the number of solutions to a Gale system. Like Khovanskii's bound, this bound is the product of an exponential function and a polynomial in the dimension, with the exponents in both terms depending upon the number of monomials. In our bound, the exponents are smaller than in Khovanskii's.