A camera usually supports just one type of battery either a disposable battery or a rechargeable one. The exception is cameras that are powered by standard AA, AAA or similar batteries. In most of these cases disposable and rechargeable batteries can be used interchangeably.
There are two battery types:
There are pros and cons to using disposable or rechargeable batteries. The main advantage to using a disposable battery is that you can always buy a few to have with you to replace the ones that are empty and you can always get one in a store close-by in case you are stuck with empty batteries. The disadvantages to using disposable batteries are the cost of buying new batteries every times your batteries are empty, the capacity (in most cases a disposable battery will not last as long as a good rechargeable battery). On the other hand rechargeable batteries require only one purchase. When the battery is empty you can simply place it in its charger and after an hour or so you will have a fully recharged battery. The disadvantage is that if you run out of batteries during a photo shooting session or somewhere away from home or a power supply you can not just buy another battery. The solution to that problem is to buy one extra battery and to always carry it with you fully charged.
If your camera uses standard size batteries such as AA or AAA you can have the advantages of both disposable and rechargeable batteries. You can always use disposable AA or AAA batteries with the camera but you can also get a rechargeable AA or AAA battery and use it when convenient.
Rechargeable batteries technologies:
Different technologies are used in building rechargeable batteries. Look at the battery itself to find out what technology was used in most cases it will be written on a small sticker on the battery or somewhere on its packaging. The following are the most common technologies and some of their pros and cons:
In conclusion when choosing a camera and considering what batteries it uses you should first make a choice between disposable and rechargeable batteries. If you choose to get a camera that uses rechargeable batteries you should try to choose a battery that uses the latest technologies like polymer or lithium unless you have some special considerations.