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The image shows a problem asking to convert a measurement given in scientific notation. The expression to be converted is:

\[
5.8 \times 10^{-5} \, \text{cm}^2/\text{ms} \times \frac{\text{m}^2/\text{s}}{\text{cm}^2/\text{s}}
\]

The goal is to perform the unit conversion, likely simplifying the expression.

### Step-by-Step Solution:

1. **Convert cm² to m²:**
   - \(1 \, \text{cm} = 0.01 \, \text{m}\), so \(1 \, \text{cm}^2 = (0.01 \, \text{m})^2 = 0.0001 \, \text{m}^2 = 10^{-4} \, \text{m}^2\).

2. **Simplify the expression:**
   - Given: \(5.8 \times 10^{-5} \, \text{cm}^2/\text{ms}\)
   - Convert \( \text{cm}^2 \) to \( \text{m}^2 \):
     \[
     5.8 \times 10^{-5} \, \text{cm}^2/\text{ms} \times \left(\frac{10^{-4} \, \text{m}^2}{\text{cm}^2}\right) = 5.8 \times 10^{-5} \times 10^{-4} \, \text{m}^2/\text{ms}
     \]
   - Simplify the exponents:
     \[
     5.8 \times 10^{-9} \, \text{m}^2/\text{ms}
     \]

3. **Convert milliseconds (ms) to seconds (s):**
   - \(1 \, \text{ms} = 10^{-3} \, \text{s}\).
   - Substitute \( \text{ms} \) with \( \text{s} \):
     \[
     5.8 \times 10^{-9} \, \text{m}^2/\text{ms} \times \left(\frac{1}{10^{-3} \, \text{s}}\right) = 5.8 \times 10^{-9} \times 10^{3} \, \text{m}^2/\text{s}
     \]
   - Simplify the exponents:
     \[
     5.8 \times 10^{-6} \, \text{m}^2/\text{s}
     \]

So, the final answer after conversion is:

\[
5.8 \times 10^{-6} \, \text{m}^2/\text{s}
\]

Would you like more details, or do you have any other questions?

### Related Questions:
1. How do you convert between different SI unit prefixes (e.g., from mm to m)?
2. What are the common mistakes to avoid when converting scientific notations?
3. How would the conversion process change if we were dealing with different units, such as cm³ to m³?
4. How can dimensional analysis help in verifying the correctness of unit conversions?
5. What role does significant figures play in scientific calculations?

### Tip:
Always ensure that the exponents are correctly managed when converting between units in scientific notation to avoid calculation errors.

Convert the following measurement: 5.8 × 10^-5 cm²/ms to m²/s.

Learn how to convert the measurement 5.8 × 10^-5 cm²/ms to m²/s using scientific notation and unit conversion techniques. This problem covers key mathematical concepts like scientific notation and unit conversion, suitable for students in Grades 10-12.

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