To find how many miles light travels in a year, we can multiply the speed of light by the number of seconds in a year.
The speed of light is \( 1.9 \times 10^5 \) miles per second, and there are \( 3.2 \times 10^7 \) seconds in a year.
Now, we can calculate the total distance traveled by light in a year:
\[ \text{Distance} = \text{Speed} \times \text{Time} = (1.9 \times 10^5 , \text{mi/sec}) \times (3.2 \times 10^7 , \text{sec}) \]
To simplify this calculation, we can first multiply the coefficients (1.9 and 3.2) and then add the exponents (5 and 7) for the powers of 10.
Calculating the coefficients:
\[ 1.9 \times 3.2 = 6.08 \]
Adding the exponents:
\[ 10^5 \times 10^7 = 10^{5+7} = 10^{12} \]
Now combining these results:
\[ \text{Distance} = 6.08 \times 10^{12} \text{ miles} \]
So, the distance light travels in a year, expressed in scientific notation, is:
\[ \boxed{6.08 \times 10^{12}} \text{ miles} \]