In this Technical Note, the problem of determining the temperature distribution in a pin fin with power-law heat transfer coefficients is addressed. It is demonstrated that the governing fin equation, a nonlinear second-order differential equation, is exactly solvable for the entire range of the exponent in the power-law heat transfer coefficients. The exact, closed-form analytical solutions in implicit form are convenient for physical interpretation and optimization for maximum heat transfer. Furthermore, it is proved that the exact solutions have three different structures: (1) dual in the range of ≤ −2, (2) unique or dual in the range of −2 < < −1, and (3) unique in the range of ≥ −1. Additionally, exact analytical expressions for the fin efficiency and the fin effectiveness are provided, both as a function of the dimensionless fin parameter for the gamma of under study.