The one thing that the vast majority of netbook and notebooks has in common is that power usually comes from a lithium-ion battery pack. A few of the machines on the market use lithium-polymer, but they all use battery packs.
Liliputing went hands on with the NorhTec Gecko Edubook that runs on plain old AA batteries in a pinch and rechargeable AA's normally. The machine uses an 8.9-inch screen with a resolution of 1024 x 600 and it can run Windows or Linux.
Other features include a 1GHz Xcore86 processor, SD card slot for storage and the entire notebook uses only 6.5W of power. Liliputing says that the keyboard is uncomfortable for use with adult hands and it is underpowered. That's expected of a machine designed for kids in school though.