To multiply the two expressions \(7 \times 10^8\) and \(9 \times 10^9\), you can follow these steps:
- Multiply the coefficients (the numbers in front): \(7 \times 9 = 63\).
- Apply the multiplication rule for powers of ten: \(10^8 \times 10^9 = 10^{8+9} = 10^{17}\).
Now, combine these results:
\[ 7 \times 10^8 \times 9 \times 10^9 = 63 \times 10^{17} \]
Thus, the final result is:
\[ 63 \times 10^{17} \]
If desired, you can also express it in scientific notation:
\[ 6.3 \times 10^{18} \]
Both forms are correct, so you can use either \(63 \times 10^{17}\) or \(6.3 \times 10^{18}\).