Multiply. Write your answer in scientific notation.

Question

(
3.2
×
10
^8
)
(
2.9
×
10
^10
)

Answer 1

To multiply the numbers in scientific notation \( (3.2 \times 10^8) \) and \( (2.9 \times 10^{10}) \), follow these steps:

1. Multiply the coefficients: \[ 3.2 \times 2.9 = 9.28 \]

2. Add the exponents of the powers of 10: \[ 10^8 \times 10^{10} = 10^{(8+10)} = 10^{18} \]

3. Combine the results: \[ 9.28 \times 10^{18} \]

4. Convert to scientific notation: Since \(9.28\) is already in the range between \(1\) and \(10\), no further adjustment is needed.

Thus, the final answer in scientific notation is: \[ \boxed{9.28 \times 10^{18}} \]