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Answer 1 · 2017-06-07T23:39:45

$1$ $"parsec"$ is equal to $3.26156$ $"ly"$ .

$1$ $"ly"$ is the time it takes light in vacuum to travel one year, and is equal to the product of the amount of seconds in one year ( $365.25$ $"days" = 31557600$ $"s"$ ) and the speed of light in vaccum, $299792458"m"/"s"$ :

$1$ $"ly" = 31557600$ $cancel("s")$ $xx 299792458"m"/(cancel("s"))$

$= 9,460,730,472,580,800$ $"m"$ (exactly)

Thus, $10^8$ $"ly"$ =

$10^8$ $cancel("ly")((9,460,730,472,580,800"m")/(1cancel("ly")))$

$= 946,073,047,258,080,000,000,000$ $"m"$

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