To solve \((4.94 \times 10^{-3}) \times (9 \times 10^{-6})\), you can multiply the coefficients and add the exponents of the powers of 10.

Here's the step-by-step process:

1. Multiply the coefficients:  
   \(4.94 \times 9 = 44.46\)

2. Add the exponents of 10:  
   \(-3 + (-6) = -9\)

3. Combine the results:  
   \(44.46 \times 10^{-9}\)

To express the result in scientific notation, adjust \(44.46\) to \(4.446 \times 10\):

\[
44.46 \times 10^{-9} = 4.446 \times 10 \times 10^{-9} = 4.446 \times 10^{-8}
\]

So, the final answer is:

\[
(4.94 \times 10^{-3}) \times (9 \times 10^{-6}) = 4.446 \times 10^{-8}
\]

Would you like further details or have any questions?

Here are some related questions:

1. How do you multiply numbers in scientific notation?
2. How do you divide numbers in scientific notation?
3. What is the importance of expressing results in scientific notation?
4. How do you convert a standard number to scientific notation?
5. What are some real-world applications of scientific notation?

**Tip:** When multiplying numbers in scientific notation, always adjust the final coefficient to be between 1 and 10 for proper scientific notation form.

Learn how to multiply two numbers in scientific notation: (4.94 x 10^-3) and (9 x 10^-6). Follow a step-by-step process to get the final result in scientific notation. Understand exponent addition and proper formatting in this easy-to-follow guide. Suitable for students in Grades 8-10.

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