c=3.8x10^8
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It is called a definition.
The speed of light doesn't travel anywhere. However, light itself, traveling through vacuum at the speed of light, covers 1 quintillion miles in about 170,108 years. That's less than 7 percent of the distance to the nearest galaxy. (Note: The American definition of 'quintillion' is used . . . 1 x 1018 . Using the British definition of the same word (1030), the answer is the same, only 1 trillion times bigger.)
Use the definition of "index of refraction". In this case, you simply need to divide the speed of light in a vacuum by the index of refraction.
Refractive Index= Speed of Light in Vaccum / Speed of Light in the material
That is the speed of light.That is the speed of light.That is the speed of light.That is the speed of light.