Answer: ![4.248*10^{13}\ seconds](https://tex.z-dn.net/?f=4.248%2A10%5E%7B13%7D%5C%20seconds)
Step-by-step explanation:
We must remember that, by definition, Scientific notation has the following form:
![a*10^b](https://tex.z-dn.net/?f=a%2A10%5Eb)
Where
and "b" is an integer.
Let be "x" the distance light will travel in 1 minute.
According to the information provided in the exercise, the light travels
per second.
We know that:
![1\ minute=3,600\ seconds](https://tex.z-dn.net/?f=1%5C%20minute%3D3%2C600%5C%20seconds)
To write this in Scientific notation, move the decimal point three places to the left:
![3.6*10^3\ seconds](https://tex.z-dn.net/?f=3.6%2A10%5E3%5C%20seconds)
Then, we can set up the following proportion:
![\frac{1.18 * 10^{10}}{1}=\frac{x}{3.6*10^3}](https://tex.z-dn.net/?f=%5Cfrac%7B1.18%20%2A%2010%5E%7B10%7D%7D%7B1%7D%3D%5Cfrac%7Bx%7D%7B3.6%2A10%5E3%7D)
Solve for "x" (We must remember the Product of powers property:
):
![(3.6*10^3)(\frac{1.18 * 10^{10}}{1})=x\\\\x=4.248*10^{13}\ seconds](https://tex.z-dn.net/?f=%283.6%2A10%5E3%29%28%5Cfrac%7B1.18%20%2A%2010%5E%7B10%7D%7D%7B1%7D%29%3Dx%5C%5C%5C%5Cx%3D4.248%2A10%5E%7B13%7D%5C%20seconds)