Question

What is 5.5×10 to the power of 4 multiplied by 2.2×10 to the power of −8 ? Write the answer in scientific notation.(1 point)
Responses

1.21×10 to the power of −5
1.21 times 10 superscript negative 5 baseline

12.1×10 to the power of −4
12.1 times 10 superscript negative 4 baseline

1.21×10 to the power of −4
1.21 times 10 superscript negative 4 baseline

1.21×10 to the power of −3

Answer 1

To multiply the numbers in scientific notation, you can multiply the coefficients and add the exponents.

Given:
- \( 5.5 \times 10^4 \)
- \( 2.2 \times 10^{-8} \)

First, multiply the coefficients:
\[
5.5 \times 2.2 = 12.1
\]

Next, add the exponents:
\[
4 + (-8) = 4 - 8 = -4
\]

Now, combine these results:
\[
12.1 \times 10^{-4}
\]

To express this in proper scientific notation, ensure the coefficient is between 1 and 10. In this case, \( 12.1 \) is not between 1 and 10. We can adjust this by writing \( 12.1 \) as \( 1.21 \times 10^1 \). Therefore:

\[
12.1 \times 10^{-4} = 1.21 \times 10^1 \times 10^{-4} = 1.21 \times 10^{-3}
\]

Thus, the final answer in scientific notation is:

**1.21×10 to the power of −3**.