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We need to convert \( 5.92 \times 10^{-3} \, \text{m}^2 \) to \( \text{mm}^2 \).

### Conversion Steps:
1. **Conversion between meters and millimeters**:
   - \( 1 \, \text{m} = 1000 \, \text{mm} \), which means \( 1 \, \text{m}^2 = (1000 \, \text{mm})^2 = 10^6 \, \text{mm}^2 \).

2. **Multiply the given value by \( 10^6 \) to convert to \( \text{mm}^2 \)**:
   \[
   5.92 \times 10^{-3} \, \text{m}^2 = 5.92 \times 10^{-3} \times 10^6 \, \text{mm}^2
   \]
   Simplifying the powers of 10:
   \[
   5.92 \times 10^3 \, \text{mm}^2 = 5920 \, \text{mm}^2
   \]

Thus, \( 5.92 \times 10^{-3} \, \text{m}^2 \) is equal to **5920 mm²**.

Would you like further details on this conversion? 

Here are some related questions:
1. How do you convert square centimeters to square millimeters?
2. What are the basic rules for converting units of area?
3. Why is the exponent doubled when converting from linear to square units?
4. How do you convert cubic meters to cubic millimeters?
5. How does this method apply to converting volume units?

**Tip**: Always remember to square or cube the conversion factor when dealing with areas or volumes, respectively.

Learn how to convert 5.92 x 10^-3 square meters (m²) to square millimeters (mm²) using unit conversion and powers of ten. The solution includes a step-by-step explanation, ideal for students in Grades 8-10.

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