Question

A light year is approximately 6x10 to the power of 12 miles. If a star is 2.4x10 to the power of 13 miles from the Earth, how many light years away from Earth is the star?

Answer 1

4 light years

Explanation:

(2.4·10¹³ miles)/(6·10¹² miles/ly) = 0.4·10¹ ly = 4 light years

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The applicable rule of exponents is ...

(a^b)/(a^c) = a^(b-c)