I will present sharp late-time pointwise asymptotics for semilinear wave equations with power nonlinearities on stationary, asymptotically flat spacetimes (including black hole exteriors). Under standard spectral and local energy decay hypotheses, we show a clean dichotomy: cubic nonlinearities generate a nonlinear t^{-2} tail with an explicit coefficient, while for powers p \ge 4 the linear Price's law t^{-3} decay holds with a modified constant coefficient; in both regimes we identify the leading term throughout the forward causal domain via a blend of radiation-field methods and low-energy resolvent analysis. Joint work with Haoren Xiong.