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 per second
- Seconds in a year = \(3.2 \times 10^7\) seconds
Now, calculate the distance light travels in one year:
\[ \text{Distance} = \text{Speed} \times \text{Time} = (1.9 \times 10^5 \text{ miles/second}) \times (3.2 \times 10^7 \text{ seconds}) \]
Using the rules of multiplying scientific notation:
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Multiply the coefficients: \(1.9 \times 3.2 = 6.08\)
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Add the exponents: \(10^5 \times 10^7 = 10^{(5 + 7)} = 10^{12}\)
Combining these, we have:
\[ \text{Distance} = 6.08 \times 10^{12} \text{ miles} \]
Thus, the answer in scientific notation is:
\[ \boxed{6.08 \times 10^{12}} \]
So the correct response is \(6.08 \times 10^{12} \) miles, i.e., \(6 \text{ point } 0 8 \text{ times } 10 \text{ to the } 12\text{th power}\).