To multiply the two numbers in scientific notation, you can follow these steps:
- Multiply the coefficients (the numbers in front): \( 4.82 \times 3.2 \)
- Add the exponents of the powers of ten: \( 10^{12} \times 10^{4} = 10^{(12 + 4)} = 10^{16} \)
Now let's perform the coefficient multiplication:
\[ 4.82 \times 3.2 = 15.424 \]
Now combine the results:
\[ 15.424 \times 10^{16} \]
To express this in proper scientific notation, we need to adjust \( 15.424 \) so that it is between 1 and 10:
\[ 15.424 = 1.5424 \times 10^1 \]
So now we combine the powers of ten:
\[ 1.5424 \times 10^{1} \times 10^{16} = 1.5424 \times 10^{(1 + 16)} = 1.5424 \times 10^{17} \]
Thus, the result of \( 4.82 \times 10^{12} \times 3.2 \times 10^{4} \) is:
\[ 1.5424 \times 10^{17} \]