c (7.1times 10^3)+(4.6times 10^2)

To solve this problem, we need to add the two numbers in scientific notation.<br /><br />Given:<br />$(7.1\times 10^{3})+(4.6\times 10^{2})$<br /><br />Step 1: Convert the numbers to standard form.<br />$7.1\times 10^{3} = 7,100$<br />$4.6\times 10^{2} = 460$<br /><br />Step 2: Add the numbers in standard form.<br />$7,100 + 460 = 7,560$<br /><br />Step 3: Convert the result back to scientific notation.<br />$7,560 = 7.56\times 10^{3}$<br /><br />Therefore, the answer is $7.56\times 10^{3}$.