To solve the expression \((2 \times 10^{-4}) \times \frac{1L}{0.02m}\), follow these steps:

1. **Simplify the division inside the fraction**:
   \[
   \frac{1L}{0.02m} = \frac{1}{0.02} \frac{L}{m} = 50 \frac{L}{m}
   \]

2. **Multiply the simplified fraction by \(2 \times 10^{-4}\)**:
   \[
   (2 \times 10^{-4}) \times 50 \frac{L}{m}
   \]

3. **Perform the multiplication**:
   \[
   2 \times 50 = 100
   \]
   \[
   100 \times 10^{-4} = 10^{-2}
   \]

So, the final result is:
   \[
   10^{-2} \frac{L}{m}
   \]

Therefore, \((2 \times 10^{-4}) \times \frac{1L}{0.02m} = 10^{-2} \frac{L}{m}\).

Would you like more details or have any questions?

### Related Questions:
1. What is the significance of scientific notation in simplifying calculations?
2. How do you convert between different units of measurement?
3. Can you provide examples of multiplying and dividing fractions?
4. What are common mistakes to avoid when working with scientific notation?
5. How do you handle multiplication and division with powers of ten?
6. Why is it important to simplify expressions before performing operations?
7. What are the rules for handling significant figures in calculations?
8. How do you verify the accuracy of a complex calculation?

### Tip:
When working with scientific notation, always pay attention to the exponent rules to simplify multiplication and division effectively.

Learn how to solve the scientific notation problem (2×10^-4) × 1L/0.02m step-by-step. This problem involves scientific notation and unit conversion, covering concepts like fraction multiplication and unit conversion ratios. Suitable for high school students learning about scientific notation and unit conversions.

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