To multiply the numbers in scientific notation, you can multiply the coefficients and add the exponents.
- Multiply the coefficients: \(4.82 \times 3.2 = 15.424\)
- Add the exponents: \(10^{12} \times 10^{4} = 10^{(12+4)} = 10^{16}\)
Now, combine the results:
\[ 15.424 \times 10^{16} \]
Since \(15.424\) is greater than \(10\), we can convert it back to standard scientific notation by adjusting the coefficient:
\[ 15.424 = 1.5424 \times 10^{1} \]
So, combining it gives:
\[ 1.5424 \times 10^{1} \times 10^{16} = 1.5424 \times 10^{(1 + 16)} = 1.5424 \times 10^{17} \]
Thus, the final result is:
\[ 1.5424 \times 10^{17} \]