Let's solve \((3^2 \times 5^2)^3\).

### Step 1: Simplify inside the parentheses.
We have \(3^2 = 9\) and \(5^2 = 25\), so:
\[
(3^2 \times 5^2) = 9 \times 25 = 225.
\]

### Step 2: Apply the exponent outside the parentheses.
Now we raise 225 to the power of 3:
\[
225^3 = 225 \times 225 \times 225 = 11,390,625.
\]

So, \((3^2 \times 5^2)^3 = 11,390,625\).

Do you want any further explanation or have any questions?

Here are some related questions:
1. What is \( (4^2 \times 6^2)^2 \)?
2. How do you simplify \( (2^2 \times 3^3)^3 \)?
3. What is the general rule for multiplying powers of numbers?
4. Can you explain the steps for solving \( (a^2 \times b^2)^n \)?
5. How would you simplify \( (7^2 \times 2^2)^4 \)?

**Tip:** When raising products to a power, you can apply the exponent to each factor individually before multiplying.

Learn how to solve the exponentiation problem (3² * 5²)³ with a detailed step-by-step solution. Understand the key concepts of exponents and multiplication of powers. This problem is suitable for students in Grades 8-10.

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