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We are tasked with multiplying the two expressions in scientific notation:

\[
(2 \times 10^{-1})(2 \times 10^{-6})
\]

### Step-by-Step Solution:

1. **Multiply the constants:**
   \[
   2 \times 2 = 4
   \]

2. **Multiply the powers of 10:**
   \[
   10^{-1} \times 10^{-6} = 10^{-1 + (-6)} = 10^{-7}
   \]

3. **Combine the results:**
   \[
   4 \times 10^{-7}
   \]

Thus, the product in scientific notation is:

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

Would you like more details or have any questions?

### Related Questions:
1. How do you add or subtract numbers in scientific notation?
2. What are the rules for dividing numbers in scientific notation?
3. How would you convert \( 4 \times 10^{-7} \) to decimal notation?
4. What is the general rule for multiplying exponents with the same base?
5. How do you handle negative exponents in calculations?

### Tip:
When multiplying in scientific notation, remember to handle the coefficients and powers of 10 separately.

Multiply. Write your answer in scientific notation: (2 × 10^-1)(2 × 10^-6)

Learn how to multiply numbers in scientific notation, specifically (2 × 10^-1)(2 × 10^-6). This example covers key concepts such as scientific notation and the rules of exponents, with a step-by-step solution. Suitable for students in Grades 6-8.

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