To find the sum of \(6.3 \times 10^3\) and \(2.41 \times 10^4\), we first need to express them with the same exponent.
Let's convert \(6.3 \times 10^3\) into a format with \(10^4\):
\[ 6.3 \times 10^3 = 0.63 \times 10^4 \]
Now we can add the two values:
\[ 0.63 \times 10^4 + 2.41 \times 10^4 = (0.63 + 2.41) \times 10^4 = 3.04 \times 10^4 \]
Therefore, the sum in scientific notation is:
\[ \boxed{3.04 \times 10^4} \]