Final answer:
To convert 10⁵⁰ minutes into years, the student must multiply 10⁵⁰ min by the provided unit conversion factors, resulting in 1.901 × 10³⁴ years, which aligns with option (a).
Step-by-step explanation:
The student is tasked with converting a large number of minutes into years using given conversion rates between minutes, hours, days, and years. To solve this, we simply need to perform the multiplication of the numbers and units provided. Starting with 10⁵⁰ minutes, we consecutively multiply by the provided unit conversion factors.
Let's perform the calculation step by step:
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- First, convert minutes to hours: 10⁵⁰ min * (1 hr/60 min) = 10⁵⁰ / 60 hours
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- Next, convert hours to days: (10⁵⁰ / 60) * (1 day / 24 hr) = 10⁵⁰ / (60 * 24) days
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- Finally, convert days to years: (10⁵⁰ / (60 * 24)) * (1 yr / 365 days) = 10⁵⁰ / (60 * 24 * 365) years
After performing the multiplication and division, we simplify the expression to find the final answer in years.
The result of the calculation is 1.901 × 10³⁴ years, which corresponds to option (a).