Multiply. Write your answer in scientific notation.

Question

(3.2 times 10^8)(2.9 times 10^10)

Answer 1

To multiply the numbers in scientific notation, you can follow these steps:

1. Multiply the coefficients (the numbers in front).
2. Add the exponents of the powers of ten.

For the given multiplication:

\[ (3.2 \times 10^8)(2.9 \times 10^{10}) \]

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

2. Add the exponents: \[ 8 + 10 = 18 \]

Now, combine these results:

\[ 9.28 \times 10^{18} \]

Since the coefficient \(9.28\) is between 1 and 10, it is already in proper scientific notation.

Thus, the final answer is:

\[ \boxed{9.28 \times 10^{18}} \]