In mobile ad hoc wireless networks (MANET), due to host mobility, broadcasting is expected to be frequently used to find a route to a particular host, to page a host, and to alarm all hosts. A straightforward broadcasting by flooding is usually very costly and results in substantial redundancy and more energy consumption. Power consumption is an important issue since most mobile hosts operate on battery. Broadcasting based on a connected dominating set (CDS) is a promising approach, where only nodes inside CDS need to relay the broadcast packet. Wu and Li proposed a simple distributed algorithm for calculating CDS in MANET. In general, nodes inside CDS consume more energy to handle various bypass traffics than nodes outside the set. To prolong the life span of each node and, hence, the network by balancing the energy consumption in the system, nodes should be alternated in being chosen to form a CDS. Activity scheduling deals with the way to rotate the role of each node among a set of given operation modes. In thesis I propose to apply power-aware CDS notions to broadcasting and activity scheduling. I also introduce distance rule and extended rules to further reduce broadcasting energy consumption. The effectiveness of the proposed method are confirmed through my simulation experiment.