We study a purely viscous flow of a non-Newtonian fluid obeying the power-l
aw in an exterior domain. We pro re that for pseudo-plastic: fluids the Sto
kes paradox does not take place, while for tho dilatant fluids it takes pla
ce in any space dimension n if the flow index is larger or equal to n. MSC
(2000): 76D07.