Question

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 × 10^12 miles. Suppose a star is 9.8 × 10^1 light-years from Earth. In scientific notation, approximately how many miles is it?

Answer 1

SO the question ask to find the approximate distance in mile of the light calculated by an astronomer where as the given is a light year, so base on the data has given, the possible answer would be 5.7624*10^14. I hope you are satisfied with my answer and feel free to ask for more 

Answer 2

The distance of the star in miles is required.

The distance of the star is $5.81\times 10^{14}\ \text{miles}$ from Earth.

Conversion of units

The distance of the star is $9.88\times 10^1\ \text{light-years}$

The conversion factor is

$1\ \text{light-year}=5.88\times 10^{12}\ \text{miles}$

$9.88\times 10^{1}\ \text{light-year}=9.88\times 10^1\times 5.88\times 10^{12}=5.81\times 10^{14}\ \text{miles}$

The distance of the star is $5.81\times 10^{14}\ \text{miles}$ from Earth.

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