To sum \( 7.1 \times 10^5 \) and \( 11.4 \times 10^3 \), we first need to express both numbers in the same power of ten.
Starting with \( 11.4 \times 10^3 \), we can convert it to have a power of \( 10^5 \) by rewriting it as follows:
\[ 11.4 \times 10^3 = 11.4 \times 10^3 \times \frac{10^2}{10^2} = 11.4 \times 10^5 \times 10^{-2} = 0.114 \times 10^5 \]
Now we can add the two numbers:
\[ 7.1 \times 10^5 + 0.114 \times 10^5 = (7.1 + 0.114) \times 10^5 = 7.214 \times 10^5 \]
We check if \( 7.214 \) is in proper scientific notation. Since \( 7.214 \) is greater than 1 and less than 10, it is already in correct format.
Thus, the sum of \( 7.1 \times 10^5 \) and \( 11.4 \times 10^3 \) in scientific notation is:
\[ \boxed{7.214 \times 10^5} \]
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