Distances in space are measured in light-years. the distance from earth to a star is 4.1 x 10^13 kilometers. what is the distance, in light-years, from earth to the star (1 light-year=9.46 x 10^12 kilometers)?

Sorry for this answer taking so long, as you have probably figured it out, but here it is.

One light year is equal to 9.461 x 10^12 kilometers.
If you have 4.1 x 10^13 kilometers, then you just put it out in standard notation as 41000000000000 kilometers. Now take a light year, which is 9461000000000 kilometers. Now we just have to divide the kilometers by one light year and we get 41000000000000 / 9461000000000 = 4.33357995984. If we round this answer to the nearest hundredth, we have 4.33. There we have it! 4.33 light years.