I suspect they wrote the question wrong or you miscopied, but I’m going to assume the star is 415 *light*-years away.
Light goes 300,000 kilometers per second, so it goes about 300,000 x 60 x 60 x 24 x 365 = 9.46×10^(12) kilometers per year, so it’ll go 415 times that far in 415 years: 3.93×10^(15) kilometers. Just under 4 quadrillion kilometers.
Divide that number by 99,700 and you get 3.94×10^(10) hours.
Divide that number by 24 and you get days: 1 billion, 641 million days.
Divide that by 365 and you get years: roughly 4.5 million years.
(The speed of light is actually a smidge under 300,000km/sec, and years aren’t exactly 365 days, so if you used more precise numbers in those places you’d get a better answer than mine.)
(I assume you’re in an astronomy course? Astrology is the “don’t take any risks this week because Jupiter is in Pisces” thing. Number crunch like this seems more like astronomy.)
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