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The problem in the image shows a measurement to convert, expressed as:

\[
7.20 \times 10^3 \, \frac{\text{g} \cdot \text{cm}^2}{\text{s}^2} \times \frac{\text{kg}}{\text{m}}
\]

This looks like a unit conversion problem, aiming to convert the units into SI units. Here's a step-by-step breakdown:

1. **Convert grams (g) to kilograms (kg)**:
   - \(1 \, \text{g} = 10^{-3} \, \text{kg}\), so:
   \[
   7.20 \times 10^3 \, \text{g} = 7.20 \, \text{kg}
   \]

2. **Combine the units**:
   The expression now becomes:
   \[
   7.20 \, \times \, \frac{\text{kg} \cdot \text{cm}^2}{\text{s}^2} \times \frac{\text{kg}}{\text{m}}
   \]
   Which simplifies to:
   \[
   7.20 \, \frac{\text{kg}^2 \cdot \text{cm}^2}{\text{s}^2 \cdot \text{m}}
   \]

3. **Convert centimeters (cm) to meters (m)**:
   - \(1 \, \text{cm} = 10^{-2} \, \text{m}\), so:
   \[
   \text{cm}^2 = (10^{-2} \, \text{m})^2 = 10^{-4} \, \text{m}^2
   \]

   Substituting this, the expression becomes:
   \[
   7.20 \, \frac{\text{kg}^2 \cdot 10^{-4} \, \text{m}^2}{\text{s}^2 \cdot \text{m}}
   \]

4. **Simplify the units**:
   Cancel out one meter from the numerator and denominator, which gives:
   \[
   7.20 \times 10^{-4} \, \frac{\text{kg}^2 \cdot \text{m}}{\text{s}^2}
   \]

Thus, the final converted measurement is:

\[
7.20 \times 10^{-4} \, \frac{\text{kg}^2 \cdot \text{m}}{\text{s}^2}
\]

This result is in SI units.

Would you like more details on any step? Here are five related questions to deepen your understanding:

1. How do you convert other compound units like \( \frac{\text{g} \cdot \text{cm}}{\text{s}} \) into SI units?
2. What are the common steps for handling unit conversions involving exponents?
3. How do you deal with complex units like Newtons or Pascals?
4. What are the SI base units for force and pressure?
5. How would you approach converting cubic centimeters (cm³) to cubic meters (m³)?

**Tip:** When converting between units, keep track of how base units (e.g., meters, kilograms, seconds) change, especially with powers and exponents.

Convert the following measurement: 7.20 x 10^3 g·cm²/s² × kg/m into SI units.

Learn how to convert compound measurements like 7.20 x 10^3 g·cm²/s² × kg/m into SI units. This problem covers key concepts in unit conversion, including dimensional analysis and the conversion of grams to kilograms and centimeters to meters.

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