If star A has a core temperature T and star B has a core temperature 3t how does the rate of fusion of star A compare to the rate of fusion of star B?

The rate of nuclear fusion in a star is highly sensitive to its core temperature, typically following the relationship that fusion rates increase sharply with temperature. For a rough estimate, the rate of fusion can be proportional to (T^4) to (T^{10}), depending on the specific fusion process. If star B's core temperature is three times that of star A (3T), the fusion rate in star B would be significantly higher—potentially up to 81 to 1000 times greater than that of star A, depending on the exact exponent used in the temperature dependence. Thus, star B's fusion rate would be dramatically greater than star A’s.