How many light-years are in 1 parsec? And how | vedclass

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(A) Step $1$: Convert $1$ parsec to light-years.$1 	ext{ parsec} = 3.08 	imes 10^{16} 	ext{ m}$$1 	ext{ light-year} = 9.46 	imes 10^{15} 	ext{ m

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$3.26$ light-years and $6.3 	imes 10^{4} 	ext{ AU}$

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(A) Step $1$: Convert $1$ parsec to light-years.$1 	ext{ parsec} = 3.08 	imes 10^{16} 	ext{ m}$$1 	ext{ light-year} = 9.46 	imes 10^{15} 	ext{ m}$$\frac{1 	ext{ parsec}}{1 	ext{ light-year}} = \frac{3.08 	imes 10^{16}}{9.46 	imes 10^{15}} \approx 3.26$Therefore,$1 	ext{ parsec} = 3.26 	ext{ light-years}$.Step $2$: Convert $1$ light-year to astronomical units $(AU)$.$1 	ext{ AU} = 1.496 	imes 10^{11} 	ext{ m} \approx 1.5 	imes 10^{11} 	ext{ m}$$\frac{1 	ext{ light-year}}{1 	ext{ AU}} = \frac{9.46 	imes 10^{15}}{1.5 	imes 10^{11}} \approx 6.3 	imes 10^{4}$Therefore,$1 	ext{ light-year} = 6.3 	imes 10^{4} 	ext{ AU}$.

How many light-years are in $1$ parsec? And how many astronomical units are in $1$ light-year?

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