Solar and safe-tech fusion are the common civil and household power sources. To produce massive amounts of power quickly and sustain it over an extended period (such as a starship’s FTL drive) antimatter is the prefered option if you don’t want to rely on multiple fusion generators and banks of heavy capacitors.
TL 11 rechargable power cells are pretty much standard (with adaptors) throughout known space. Power cells do not explode unless someone with demolitions or electrical skills modifies them to by rigging an overload feed-back loop into them.
Some systems requiring constant power over a long period without recharge may even use radioactive decay power cells. These are perfectly safe provided they are not broken open, exposing the radioactive isotope. They’re made very tough, and most include a tiny amount of dedicated disasembler nano to reduce the radioactive isotope to inert material in the case of a catastrophic containment failure. Fission cells are mainly used in objects to small to fit a micro fusion generator into such as long range droids, drones, probes, and microbot swarms without access to other ambient power sources such as solar or local power grids.