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The problem given is to multiply two values and express the result in scientific notation:

\[
(7 \times 10^{-1}) \times (4 \times 10^{-5})
\]

### Step-by-Step Solution:
1. **Multiply the coefficients**:  
   \[
   7 \times 4 = 28
   \]
2. **Add the exponents of 10**:  
   When multiplying powers of 10, we add their exponents:
   \[
   (-1) + (-5) = -6
   \]
3. **Write the result** in scientific notation:
   The result before adjusting is:
   \[
   28 \times 10^{-6}
   \]
   In scientific notation, we need the coefficient to be between 1 and 10, so we adjust:
   \[
   28 = 2.8 \times 10^1
   \]
   Therefore:
   \[
   28 \times 10^{-6} = 2.8 \times 10^1 \times 10^{-6} = 2.8 \times 10^{-5}
   \]

### Final Answer:
\[
2.8 \times 10^{-5}
\]

Would you like further details or have any questions?

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Here are 5 related questions:
1. How do you multiply numbers in scientific notation?
2. How do you convert a large number into scientific notation?
3. What is the rule for adding exponents when multiplying powers of ten?
4. How do you ensure the coefficient in scientific notation is between 1 and 10?
5. Can you explain how to divide numbers in scientific notation?

**Tip**: When multiplying or dividing numbers in scientific notation, always handle the coefficients and exponents separately for clarity.

Learn how to multiply numbers in scientific notation with the example (7 x 10^-1) x (4 x 10^-5). This detailed step-by-step solution covers multiplying the coefficients, adding exponents, and adjusting the final result for scientific notation. Suitable for students in Grades 8-10.

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