Momentum and heat transfer in mixed-convective, power-law fluid flow over arbitrarily shaped two-dimensional or axisymmetric bodies are examined theoretically. The Merk-Chao series expansion technique, with three mixed convection parameters, is used for the analysis. Solutions to the governing equations are obtained as universal functions which are independent of the geometry of the problem. Using the wall derivatives of these universal functions, results are given for the flow over the flat plate, the horizontal circular cylinder and the sphere. The results are compared with the literature for the limiting cases of forced and natural convection.