Answer: Distance of earth from star = [tex]24.78\times10^{14}\text{ miles}[/tex]
Step-by-step explanation:
Given: A certain star is [tex]4.2 \times 10^2[/tex] light years from the Earth.
One light year is about [tex]5.9 \times 10^{12}[/tex] miles.
Distance of earth from star = [tex]4.2\times10^2\times 5.9\times10^{12}[/tex]
[tex]=4.2\times5.9\times10^2\times10^{12}\text{ miles}\\\\=24.78\times10^{2+12}\text{ miles}\\\\=24.78\times10^{14}\text{ miles}[/tex]
Hence, Distance of earth from star = [tex]24.78\times10^{14}\text{ miles}[/tex]