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Power control techniques are used in wireless communications to reduce interference and save energy. This strategy has particularly interesting applications in a multihop MANET(mobile ad-hoc networks), because the transmission power required for the communication between two nodes is increased exponentially with their distance, and the total power required to transmit a packet via multihop may be less than the energy required to transmit it directly. In this paper, we propose a new power saving mechanism in a tree constructed by TDA (topology discovering algorithm) (Zabian and Bonuccelli, 2005). The idea is the reduction of power consumption in each node (when it is possible) by adjusting the transmission range that allows a significant power saving in all the network. Our results show that, the power consumption in a tree like that constructed by TDA is related to the height of the tree and tightly related to the packet size.