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The given problem is a unit conversion between two systems of measurement: from **kg·m²/s²** to **g·cm²/s²**.

### Step-by-step conversion:

1. **Convert kilograms (kg) to grams (g):**
   - \( 1 \, \text{kg} = 1000 \, \text{g} \)
   - So, \( 6.7 \times 10^{-7} \, \text{kg} = 6.7 \times 10^{-7} \times 1000 \, \text{g} = 6.7 \times 10^{-4} \, \text{g} \)

2. **Convert meters (m) to centimeters (cm):**
   - \( 1 \, \text{m} = 100 \, \text{cm} \)
   - Since we are converting \( \text{m}^2 \), \( 1 \, \text{m}^2 = (100 \, \text{cm})^2 = 10,000 \, \text{cm}^2 \)

   So, \( 6.7 \times 10^{-4} \, \text{kg} \cdot \text{m}^2 = 6.7 \times 10^{-4} \times 10,000 \, \text{g} \cdot \text{cm}^2 \).

3. **Final conversion:**
   - \( 6.7 \times 10^{-4} \times 10,000 = 6.7 \times 10^{0} = 6.7 \)

Thus, the final result in **g·cm²/s²** is:

\[
6.7 \, \text{g} \cdot \text{cm}^2 / \text{s}^2
\]

Would you like any additional details or further clarifications?

Here are some related questions:
1. How do you convert from one system of units to another?
2. What are common unit conversions in physics?
3. What is the significance of dimensional analysis in such problems?
4. How does the square of units affect conversions?
5. How does this relate to concepts like energy or force in physics?

**Tip:** Always make sure to convert every unit correctly, especially when dealing with squared or cubed quantities!

Convert 6.7 × 10^(-7) kg·m²/s² to g·cm²/s².

Learn how to convert 6.7 × 10^(-7) kg·m²/s² to g·cm²/s² using unit conversion techniques. This physics problem covers core concepts such as converting kilograms to grams and meters squared to centimeters squared, ideal for high school students in grades 9-12.

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