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To solve this problem, we need to multiply the numbers \( 2.7 \times 10^{-2} \) and \( 1.9 \times 10^{-6} \), and express the result in scientific notation.

### Step-by-Step Solution:
1. **Multiply the coefficients**:
   \[
   2.7 \times 1.9 = 5.13
   \]

2. **Multiply the powers of 10**:
   \[
   10^{-2} \times 10^{-6} = 10^{-2-6} = 10^{-8}
   \]

3. **Combine the results**:
   \[
   5.13 \times 10^{-8}
   \]

So, the final answer in scientific notation is:
\[
\boxed{5.13 \times 10^{-8}}
\]

Would you like more details on any of these steps or have any other questions?

Here are five related questions for further practice:
1. What is the result of \( (3.4 \times 10^{-3}) \times (4.5 \times 10^{-7}) \) in scientific notation?
2. How do you divide numbers in scientific notation, such as \( (6.5 \times 10^5) \div (2.5 \times 10^2) \)?
3. How do you add two numbers in scientific notation, like \( 3.1 \times 10^4 \) and \( 4.2 \times 10^4 \)?
4. What is \( (8.2 \times 10^6) \times (2.3 \times 10^{-4}) \) in scientific notation?
5. How do you convert a large number, such as 0.000071, into scientific notation?

**Tip**: Always remember to keep the significant figures consistent when expressing the final answer in scientific notation.

Learn how to multiply numbers in scientific notation with a detailed step-by-step solution. This problem covers key mathematical concepts such as scientific notation and the multiplication of exponents. Suitable for students in Grades 8-10.

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