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The problem asks you to convert the measurement \( 5.4 \times 10^{-4} \, \frac{\text{cm}}{\text{ms}^2} \) to meters per second squared \(\left( \frac{\text{m}}{\text{s}^2} \right)\).

### Step-by-Step Conversion:

1. **Convert centimeters to meters:**
   - We know that \( 1 \, \text{cm} = 0.01 \, \text{m} \).
   - So, multiply the given value by \( 0.01 \) to convert centimeters to meters:
   \[
   5.4 \times 10^{-4} \, \frac{\text{cm}}{\text{ms}^2} \times 0.01 \, \frac{\text{m}}{\text{cm}} = 5.4 \times 10^{-6} \, \frac{\text{m}}{\text{ms}^2}
   \]

2. **Convert milliseconds squared to seconds squared:**
   - We know that \( 1 \, \text{ms} = 10^{-3} \, \text{s} \).
   - Therefore, \( 1 \, \text{ms}^2 = (10^{-3} \, \text{s})^2 = 10^{-6} \, \text{s}^2 \).
   - To convert from \( \frac{\text{m}}{\text{ms}^2} \) to \( \frac{\text{m}}{\text{s}^2} \), divide by \( 10^{-6} \):
   \[
   5.4 \times 10^{-6} \, \frac{\text{m}}{\text{ms}^2} \times \frac{1}{10^{-6}} = 5.4 \times 10^{0} \, \frac{\text{m}}{\text{s}^2}
   \]

### Final Answer:
The converted measurement is \( \boxed{5.4} \, \frac{\text{m}}{\text{s}^2} \).

Would you like more details or have any questions?

Here are five related questions to consider:
1. How would you convert from \(\text{km/h}\) to \(\text{m/s}\)?
2. What is the process for converting units of area, such as square centimeters to square meters?
3. How does the conversion of cubic units differ from linear unit conversions?
4. What is the significance of the order of magnitude in unit conversions?
5. How do you convert between different systems of measurement, such as metric to imperial?

**Tip:** Always keep track of your units during conversions to avoid errors.

Learn how to convert 5.4 × 10^-4 cm/ms^2 to m/s^2 using scientific notation and unit conversion techniques. This problem is suitable for students in Grades 9-12 and covers key concepts in unit conversion and scientific notation.

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