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Let's solve the given expression:

The expression is \(\frac{12^2}{3^2}\).

Simplify the expression step-by-step:

1. Simplify the exponents:  
   \( 12^2 = 144 \) and \( 3^2 = 9 \).

2. Divide \( 144 \) by \( 9 \):  
   \[
   \frac{144}{9} = 16.
   \]

So, the equivalent expression is \( 4^2 \), since \( 16 = 4^2 \).

**Answer: \( 4^2 \)**.

Would you like further details on this? Here are some related questions:

1. How do you simplify expressions involving exponents?
2. What are the rules of exponents when dividing?
3. How can we simplify fractions using prime factorization?
4. How do you convert powers into simpler forms?
5. What are the basic exponent laws?

**Tip:** When simplifying expressions, always break down the numbers into their prime factors to make calculations easier.

Which expression is equivalent to \(\frac{12^2}{3^2}\)?

Discover how to find an equivalent expression for \(\frac{12^2}{3^2}\) using basic exponent rules and division. This step-by-step guide simplifies exponents, demonstrating key mathematical concepts suitable for students in Grades 6-8.

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