Why can't we just shine some radar out there?
Radar decreases the same way. However, radar is even worse in that it also decreases on the way back to the sender.
So if you double the distance to the target, the radar signal coming back is 1/16 as strong. If you increase the distance by a factor of 1,000, then the signal coming back is 1/1,000,000,000,000 as strong. And so on...
This makes radar a pretty poor tool for space exploration.
http://www.naic.edu/~pradar/radarpage.html
Title: "Solar System Studies at Arecibo Observatory"
Subtitle: "Introduction to Planetary Radar"