Answer: [tex]4.248*10^{13}\ seconds[/tex]
Step-by-step explanation:
We must remember that, by definition, Scientific notation has the following form:
[tex]a*10^b[/tex]
Where [tex]1\leq |a|<10[/tex] 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 [tex]1.18 * 10^{10}\ inches[/tex] per second.
We know that:
[tex]1\ minute=3,600\ seconds[/tex]
To write this in Scientific notation, move the decimal point three places to the left:
[tex]3.6*10^3\ seconds[/tex]
Then, we can set up the following proportion:
[tex]\frac{1.18 * 10^{10}}{1}=\frac{x}{3.6*10^3}[/tex]
Solve for "x" (We must remember the Product of powers property: [tex]a^m*a^n=a^{mn}[/tex]):
[tex](3.6*10^3)(\frac{1.18 * 10^{10}}{1})=x\\\\x=4.248*10^{13}\ seconds[/tex]
