Final answer:
White dwarf stars have higher surface temperatures compared to red supergiants, but red supergiants have a greater total power output due to their larger size.
Step-by-step explanation:
The surface temperature of white dwarf stars is generally higher than that of red supergiants. For example, a typical white dwarf has a surface temperature of approximately 25,000 K, which is significantly hotter than a red supergiant's surface temperature, which is about 3,000 - 4,000 K. However, the total power radiated by a red supergiant is much greater than that of a white dwarf due to the red supergiant's much larger surface area. The power output per unit area can be calculated using Stefan's law, indicating that although white dwarfs are smaller, they are very dense and emit a lot of energy per square meter due to their high temperatures. Nonetheless, their small size results in lower total luminosity compared to the vastly larger red supergiants.