In recent years, standard cylindrical battery makers have started putting lithium power cells into rechargeable AA and AAA batteries and have managed to increase their storage ability to a staggering 3000 milliamps (3 amp-hours). At the same time they still managed to cap the voltage at 1.2 without causing them to explode or burn, that is astonishing.
(Cropped screen shot taken from a shopping site.)
These things will literally last all day for normal uses.
With clever circuitry, a single lithium AA battery can power a 50 inch TV for long enough to watch a movie.
Source : Hands on observation of Alan Booth through experience.