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The problem in the image asks to simplify the expression \((-3ab)^2\).

Let's go through the steps to simplify this expression:

1. Start by applying the power rule, which states that \((xy)^n = x^n y^n\) for any terms \(x\), \(y\), and exponent \(n\).
   \[
   (-3ab)^2 = (-3)^2 \cdot (a)^2 \cdot (b)^2
   \]

2. Calculate each term separately:
   \[
   (-3)^2 = 9, \quad a^2 = a^2, \quad b^2 = b^2
   \]

3. Multiply everything together:
   \[
   (-3ab)^2 = 9a^2b^2
   \]

Thus, the simplified form of \((-3ab)^2\) is \(9a^2b^2\).

Would you like any further details or have any questions?

Here are 5 related questions you might find useful:
1. How would you simplify \((-4xy)^3\)?
2. What is the general rule for raising a product to a power?
3. Can you simplify \((2a^3b)^2\)?
4. How does raising a negative number to an even power affect the result?
5. What is the difference between raising a term to an odd versus an even power?

**Tip:** When simplifying expressions, apply the exponent to each factor in the parentheses separately.

Learn how to simplify the algebraic expression (-3ab)^2 using the power of a product rule. This example breaks down the calculation step-by-step and covers key concepts in exponents and algebra. Suitable for Grades 7-9.

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