The regualrity and convergence of the standard flow by power of the Gauss Curvature were established in joint works with Lei Ni, and with Ben Andrews and Lei Ni. We discuss these issues for isotropic flows by power of Gauss curvature of convex hypersurfaces. As in the standard case, there is an entropy associated with the flow and it is monotone decreasing. For this entropy, there is an unique entropy point. The normalized flow preserves the enclosed volume. The main question is to control the entropy point. For isotropic flows, under appropriate assumptions, we prove that the entropy point will keep as origin. From there, one may deduce $C^{\infty}$ convergence of the flow to a smooth soliton. The soliton is a solution to corresponding Minkowski type problem (similar results in this direction were also obtained by Bryan-Ivaki-Scheuer via inverse type flows). In this respect, flow is more efficient in solving elliptic problem. For isotropic flow, uniquness problem is open, even for centrally symmetric solitons. In contrast to the standard flow case, solitons are rond spheres by a recent uniqueness result of Brendle-Choi-Daskalopoulos.