The present investigation specifically focuses on the reasons behind the changing physical properties of fluid on magnetized Ostwald-dewaele power-law fluid flow towards an inclined plate. In addition to that, the combined impact of viscous and Ohmic heating is incorporated in this study. The governing equations are modified into the dimensionless form using relevant similarity variables. The resultant equations will be numerically solved by implementing the Bvp4c technique (an inbuilt function in MATLAB software). To ensure the accuracy and validity of these results compared with existing literature. Important results are discussed for the two special cases of power-law fluids such as pseudoplastic (Case-1) and dilatant fluids (Case-2). An increment in thermal conductivity raised the velocity and temperature in both shear thickening and shear thinning fluids. Similarly, variable viscosity diminishes the velocity profile. These results may help to provide a better theoretical understanding of various scientific research and engineering applications, especially in thermal energy storage, polymer extrusion processes, petroleum reservoirs, recoverable systems, and cooling of an infinite metallic plate.