Find the product of five to the second power and 10 to the second power

To find the product of \(5^2\) and \(10^2\), follow these steps:

1. **Calculate each power**:
   - \(5^2 = 5 \times 5 = 25\)
   - \(10^2 = 10 \times 10 = 100\)

2. **Multiply the results**:
   \[
   25 \times 100 = 2500
   \]

So, the product of \(5^2\) and \(10^2\) is **2,500**.

Would you like more details on this? Here are five related questions you might find interesting:

1. What is the product of 7 to the third power and 2 to the second power?
2. How do you simplify expressions with exponents before multiplying?
3. What is the square root of 2,500?
4. How do you multiply numbers with exponents?
5. What is the relationship between powers of 10 and multiplication?

**Tip:** When multiplying powers of 10, you can count the total number of zeros to simplify the multiplication.

Discover how to find the product of 5 to the second power and 10 to the second power with step-by-step calculation. This problem involves exponentiation and multiplication, suitable for students in Grades 6-8.

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