Does light loses it's energy and/or heat while it travels?

Question

If not, then why is space outside of earth not as hot as the sun?

Answer 1

E=h*f

Energy = Plancks constant * frequency

If light loses it's energy and/or heat while it travels then frequency will be reduced and light will change color.

We do not observe this kind of behavior, so light preserves it's energy.  

Answer 2

Light goes out in a cone shape. The light is at the tip of the cone and then as it moves out, the light becomes softer because the cone becomes bigger and that kind of "dilutes" the light. It goes out with the same pattern as does sound. If the strength of the light at the first interval is one, then the second interval is four and then 9 and then 16 (squared numbers). That explains why the space outside the earth is not as hot as the sun. it does NOT lose energy as it travels.