I was changing the bulb in our ceiling light/fan and the bulb came apart; at the same time, the other bulb went out. When we checked the fan, no power was getting to it, either. The circuit breaker is fine. Any suggestions?

"no power getting to the fan" suggests a loose wire in the switch or supply circuit. How do you know the breaker works fine? When power goes out changing a bulb that has disconnected from the base, it usually means you pulled a wire loose or shorted a bulb wire and tripped the breaker.