Methods for powering up a memory device, for example, are disclosed. One such memory device includes power up circuitry configured to receive an external power supply and to provide an internal power supply to the memory device upon receipt of a command. The power up circuitry may be configured to provide the internal power supply limited to a peak current, or may be configured to provide the internal power supply not limited to a peak current. The memory device may be, for example, a synchronous dynamic random access memory (SDRAM) device or Flash memory.