Our aim is to investigate the solutions to the boundary layer problem of a power-law non-Newtonian fluid along an impermeable sheet moving with a constant velocity in an otherwise quiescent fluid environment. In the absence of an exact solution in closed form, numerical solutions for the velocity distribution in the boundary layer for different power exponents will be presented. Our goal is to give an iterative transformation method for the determination of the skin friction parameter and the boundary layer thickness for different parameter values and the dependence of the skin friction parameter and the boundary layer thickness on the power exponent are examined.