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In space, little to nothing for the light to bounce off of, so no,no beam. Austin Astronomy club fired a 1W blue at the ISS (space station) and the crew reported observation of the LASER origin.
Did they say how visible the blue light from the operator was?
General answer i would say it would go very far.
A parabolic reflector was left on the moon and a greenlaser was bounced off it and was detected by telescope back on earth-- +6 to starlight for that link!!