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The image is asking for the total number of factors of 10 in the product \(10^2 \cdot 10^3\) and then to express this product as a power of 10.

### Steps to solve:
1. **Identify the powers of 10**:
   The expression given is \( 10^2 \cdot 10^3 \).

2. **Apply the exponent rule**:
   The rule for multiplying powers of the same base is:
   \[
   10^a \cdot 10^b = 10^{a+b}
   \]
   So:
   \[
   10^2 \cdot 10^3 = 10^{2+3} = 10^5
   \]

3. **Conclusion**:
   The number of factors of 10 in this product is 5, and the product can be written as \( 10^5 \).

Would you like any more details on this, or do you have any further questions?

### Related Questions:
1. How do you multiply powers of 10 with different exponents?
2. What is the general rule for adding exponents in multiplication?
3. Can you explain how powers of 10 simplify calculations?
4. How do you divide powers of 10 with exponents?
5. What happens when you raise a power of 10 to another power?

**Tip**: When multiplying powers with the same base, always add their exponents.

Write the number of factors of 10 in 10^2 · 10^3. Then show the product as a power.

Learn how to calculate the number of factors of 10 in the product 10^2 · 10^3 using the exponent addition rule. This lesson explains how to express the result as a single power of 10, perfect for middle school students.

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