To find out how many miles light travels in a year, you can multiply the speed of light by the number of seconds in a year.
Given:
- Speed of light = \( 1.9 \times 10^5 \) miles/second
- Seconds in a year = \( 3.2 \times 10^7 \) seconds/year
The calculation is as follows:
\[ \text{Distance} = \text{Speed} \times \text{Time} = (1.9 \times 10^5 \text{ mi/sec}) \times (3.2 \times 10^7 \text{ sec}) \]
Multiply the coefficients and then add the exponents of 10:
\[ 1.9 \times 3.2 = 6.08 \]
\[ 10^5 \times 10^7 = 10^{5 + 7} = 10^{12} \]
Now, combine these results to find the distance:
\[ \text{Distance} = 6.08 \times 10^{12} \text{ miles} \]
Thus, the final answer is:
\[ \boxed{6.08 \times 10^{12}} \] miles.
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