Seconds in one year = \( 365.25 \times 24 \times 3600 = 31,557,600 \) = \( 3.15576 \times 10^7 \)

February 22, 2026

$Seconds in one year = \( 365.25 \times 24 \times 3600 = 31,557,600 \) = \( 3.15576 \times 10^7 \)$

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#### 5184
An online astrophysics student calculates that a distant star emits energy at a luminosity of \( 3.8 \times 10^{26} \) watts. If 1 watt equals 1 joule per second, and the student wants to know how many joules of energy the star emits in 2.5 Earth years (assuming 365.25 days per year), what is the total energy in scientific notation?
First, convert 2.5 years to seconds:
So, 2.5 years = \( 2.5 \times 3.15576 \times 10^7 = 7.8894 \times 10^7 \) seconds
Energy = Power × Time = \( 3.8 \times 10^{26} \times 7.889
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