https://file.aiquickdraw.com/mathbot/file/17242682173873jmgx80e.jpg

To solve the problem presented in the image, you need to multiply the two numbers given in scientific notation:

\[
3.120 \times 10^{-7} \times 3.075 \times 10^{4}
\]

### Step-by-Step Solution:

1. **Multiply the coefficients**: 
   \[
   3.120 \times 3.075 = 9.594
   \]

2. **Add the exponents** of the powers of 10:
   \[
   (-7) + 4 = -3
   \]

3. **Combine the results**:
   \[
   9.594 \times 10^{-3}
   \]

So, the correct answer in scientific notation is:

\[
9.594 \times 10^{-3}
\]

The correct choice is **Option B**.

Would you like further details or explanations on any part of this process? 

Here are five related questions to expand your understanding:

1. How do you convert a large number into scientific notation?
2. What are the rules for multiplying numbers in scientific notation?
3. Can you explain how to add or subtract numbers in scientific notation?
4. What happens when you multiply a very small number by a very large number in scientific notation?
5. How do you handle division with numbers in scientific notation?

**Tip:** When working with scientific notation, always handle the coefficients and exponents separately before combining them for the final answer.

Learn how to multiply numbers given in scientific notation step-by-step with a detailed explanation. This problem covers the multiplication of coefficients and addition of exponents in scientific notation. Suitable for high school students (Grades 9-12).

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