This　paper　presents　a　relatively　simple　numerical　method　to　investigate　the　flow　and　heat　transfer　of　laminar　power-law　fluids　over　a　semi-infinite　plate　in　the　presence　of　viscous　dissipation　and　anisotropy　radiation.　On　one　hand,　unlike　most　classical　works,　the　effects　of　power-law　viscosity　on　velocity　and　temperature　fields　are　taken　into　account　when　both　the　dynamic　viscosity　and　the　thermal　diffusivity　vary　as　a　power-law　function.　On　the　other　hand,　boundary　layer　equations　are　derived　by　Taylor　expansion,　and　a　mixed　analytical/numerical　method　(a　pseudosimilarity　method)　is　proposed　to　effectively　solve　the　boundary　layer　equations.　This　method　has　been　justified　by　comparing　its　results　with　those　of　the　original　governing　equations　obtained　by　a　finite　element　method.　These　results　agree　very　well　especially　when　the　Reynolds　number　is　large.　We　also　observe　that　the　robustness　and　accuracy　of　the　algorithm　are　better　when　thermal　boundary　layer　is　thinner　than　velocity　boundary　layer.