\begin{tabular}{l} What is the product of \( 5.5 \times 10^{3} \) and \( 6.3 \times 10^{4} \) expressed in \\ scientific notation? \\ Answer Attempt 1 out of 2 \\ Answer: \( \square \times 10 \square \) \\ \hline\( \square \)\end{tabular}

To find the product of \( 5.5 \times 10^{3} \) and \( 6.3 \times 10^{4} \), you can first multiply the coefficients (5.5 and 6.3) and then add the exponents of 10. So, \( 5.5 \times 6.3 = 34.65 \) and \( 10^{3} \times 10^{4} = 10^{(3+4)} = 10^{7} \). Now, we can express \( 34.65 \) in scientific notation, which is \( 3.465 \times 10^{1} \). Combining these, we have: \( 3.465 \times 10^{1} \times 10^{7} = 3.465 \times 10^{(1+7)} = 3.465 \times 10^{8} \). Thus, the final answer in scientific notation is \( 3.465 \times 10^{8} \). So, it should be filled as: Answer: \( 3.465 \times 10^{8} \)