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Install a splitter that says power passing , on/through , one output and the input.
or
Install All parts of the preamplifier Before the input of the splitter , The power supply/power injector , before the input of the splitter so the preamp unit can receive power.
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And here are splitters that pass power through the splitter and also prevent power from going back through the splitter out to the Tv locations.
Holland Electronics , HFS-2D , HFS-3D , HFS-4D , buy the HFS splitters at ,
http://www.hollandelectronics.com , or ,
http://www.amazon.com.