An expected utility maximizer would know exactly what to do with unlimited power. Why do we have to think so hard about it? The obvious answer is that we are adaptation executioners, not utility maximizers, and we don't have an adaptation for dealing with unlimited power. We could try to extrapolate an utility function from our adaptations, but given that those adaptations deal only with a limited set of circumstances, we'll end up with an infinite set of possible utility functions for each person. What to do?

James D. Miller: But about 100 people die every minute!

Peter Norvig: Refusing to act is like refusing to allow time to pass.

What about acting to stop time? Preserve Earth at 0 kelvin. Gather all matter/energy/negentropy in the rest of the universe into secure storage. Then you have as much time as you want to think.