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The image contains a math problem written in Persian. It asks:

**Question 23**:
Evaluate the expression \( 12.78 \times 10^3 \div 2.4 \times 10^4 \).

Let's solve this step by step:

1. **First**: Evaluate the powers of 10 separately. 
   - \( 12.78 \times 10^3 = 12780 \)
   - \( 2.4 \times 10^4 = 24000 \)

2. **Next**: Divide the two results:
   \[
   \frac{12780}{24000} \approx 0.5325
   \]

So, the result of the expression is approximately **0.5325**.

Would you like more details or have any questions? Here are 5 related questions to expand this topic:

1. How do you handle divisions involving scientific notation?
2. What are the properties of powers of 10 in multiplication and division?
3. Can you explain how to convert between scientific notation and standard form?
4. What are the practical applications of powers of 10 in real-world problems?
5. How do significant figures play a role in calculations like this?

**Tip**: When dealing with powers of 10, simplify exponents first, then handle the numerical coefficients.

Evaluate the expression 12.78 × 10^3 ÷ 2.4 × 10^4.

Learn how to evaluate the expression 12.78 × 10^3 ÷ 2.4 × 10^4 using properties of exponents and scientific notation. Step-by-step explanation and solution for high school students in Grades 9-12.

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