I imagine any nuclear powered ship has adequate power.
Apparently, no. I seem to recall reading articles that Nimitz class carriers don't produce enough power, but that the new Gerald R. Ford Class will. A quick wiki lookup yielded this:
Power generation[edit]
The propulsion and power plant of the Nimitz-class carriers was designed in the 1960s. Technological capabilities of that time did not require the same quantity of electrical power that modern technologies do. "New technologies added to the Nimitz-class ships have generated increased demands for electricity; the current base load leaves little margin to meet expanding demands for power."[23] Increasing the capability of the U.S. Navy to improve the technological level of the carrier fleet required a larger capacity power system.
The new A1B reactor plant is a smaller, more efficient design that provides approximately three times the electrical power of the Nimitz-class A4W reactor plant. The modernization of the plant led to a higher core energy density, lower demands for pumping power, a simpler construction, and the use of modern electronic controls and displays. These changes resulted in a two-thirds reduction of watch standing requirements and a significant decrease of required maintenance.[24]
A larger power output is a major component to the integrated warfare system. Engineers took extra steps to ensure that integrating unforeseen technological advances onto a Gerald R. Ford-class aircraft carrier would be possible. The U.S. Navy projects that the Gerald R. Ford-class will be an integral component of the fleet for ninety years into the future (the year 2105). One lesson learned from that is that for a ship design to be successful over the course of a century, a great deal of foresight and flexibility is required. Integrating new technologies with the Nimitz-class is becoming more difficult to do without any negative consequences. To bring the Gerald R. Ford-class into dominance during the next century of naval warfare requires that the class be capable of seamlessly upgrading to more advanced systems.



