Various embodiments are generally directed to operation of a computing device powered with first and second sets of energy storage cells, the cells of the first set structurally optimized for higher density storage of electric power, and the cells of the second set structurally optimized for providing electric power at a high electric current level. A battery module includes a casing, a first cell disposed within the casing to store electric energy with a high density, and a second cell disposed within the casing to provide electric energy stored therein with a high current level. Other embodiments are described and claimed herein.