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.