Final answer:
The special low-energy kind of RAM that preserves data for long periods without continuous power is Non-volatile memory.
Step-by-step explanation:
The type of RAM known for being a special, low-energy form capable of storing small amounts of data for long periods of time on battery power is referred to as Non-volatile memory. Unlike volatile memory, which requires power to maintain the stored information, non-volatile memory does not depend on a continuous power supply, allowing it to preserve data even when the power is turned off. An example of non-volatile memory is the energy stored in a large capacitor that can preserve the memory of an electronic device, such as a calculator, when its batteries are charged, similar to how potential energy in a battery can be reserved for future use.