The power went out, and now my computer seems to be stuck in power saving mode. HELP please

Did you check to see if the settings in the control panel got reset to default due to outage... its under control panel-power options..
Good luck

Entering power saving

Yes, but it still tells me entering power save mode whenever I connect the monitor signal cable to the system unite . Please help

Did you try to reset the BIOS? There is a simple procedures here: PC Going on Power Saving Mode Frequently

It happened to me as well if any one reads this, there is a batter like a wathc batterry in the back inside of the PC take that out and get a new one. Worked fine for me, just all you have e to do is open the inside of the tower then take out the circle battery and replace it. You need to buy it but if your on the computer f or a while for gaming or work then this should help