Questions: What is the conversion factor for parsecs to lightyears? (Use decimal notation. Give your answer to two decimal places.) conversion factor: What is the conversion factor for lightyears to parsecs? (Use decimal notation. Give your answer to two decimal places.)

What is the conversion factor for parsecs to lightyears? (Use decimal notation. Give your answer to two decimal places.) conversion factor: What is the conversion factor for lightyears to parsecs? (Use decimal notation. Give your answer to two decimal places.)
Transcript text: What is the conversion factor for parsecs to lightyears? (Use decimal notation. Give your answer to two decimal places.) conversion factor: $\square$ What is the conversion factor for lightyears to parsecs? (Use decimal notation. Give your answer to two decimal places.)
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Solution

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Solution Steps

Step 1: Understanding the Conversion Factor

A parsec (pc) is a unit of distance used in astronomy, and it is equivalent to approximately 3.26 lightyears (ly). This means that 1 parsec is equal to 3.26 lightyears.

Step 2: Conversion Factor from Parsecs to Lightyears

To convert parsecs to lightyears, we use the given conversion factor: \[ 1 \text{ parsec} = 3.26 \text{ lightyears} \]

Step 3: Conversion Factor from Lightyears to Parsecs

To find the conversion factor from lightyears to parsecs, we take the reciprocal of the conversion factor from parsecs to lightyears: \[ 1 \text{ lightyear} = \frac{1}{3.26} \text{ parsecs} \approx 0.31 \text{ parsecs} \]

Final Answer

The conversion factor for parsecs to lightyears is: \[ \boxed{3.26 \text{ lightyears per parsec}} \]

The conversion factor for lightyears to parsecs is: \[ \boxed{0.31 \text{ parsecs per lightyear}} \]

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