Question

Express your answer in scientific notation. (1.87 × 109) × (6.7 × 106) Show your work. (1 point) Responses 12.529 × 1036 12.529 × 1036 8.57 × 1016 8.57 × 1016 1.2529 × 1016 1.2529 × 1016 12.529 × 1015

Answer 1

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

1. **Multiply the coefficients:** Multiply the numbers \(1.87\) and \(6.7\).

\[
1.87 \times 6.7 = 12.529
\]

2. **Add the exponents:** Add the powers of ten \(10^{9}\) and \(10^{6}\).

\[
9 + 6 = 15
\]

3. **Combine the results:** Now combine the coefficient with the power of ten.

\[
12.529 \times 10^{15}
\]

4. **Convert to proper scientific notation:** Scientific notation requires the coefficient to be between 1 and 10. We need to adjust \(12.529\) to be \(1.2529\) by shifting the decimal point one place to the left, which increases the exponent by 1.

\[
12.529 \times 10^{15} = 1.2529 \times 10^{16}
\]

So, the final answer in scientific notation is:

\[
\boxed{1.2529 \times 10^{16}}
\]