A new method and system are presented to drastically reduce the power absorbed by the body of the user's of mobile or wireless computing or communication devices, such as cell phones, so that the usage of those devices become safe for the users. In one case, multiple antennas are used, and the transmission is done in multiple steps or stages. The first antenna (the closest to the user) operates with extremely low power for short distances. In addition, the distance between the user and the last antenna is increased drastically. In another case, multiple frequencies are used, in combination with multiple antennas. The frequency chosen for the first antenna is selected from a range of frequencies corresponded to the low power absorption for a specific human tissue or for overall human body, as a weighted average. Other variations are also described in detail.