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Let's solve the given expression:

\[
\frac{3^2 \cdot 2^3}{2^2 \cdot 3}
\]

### Step 1: Simplify the Numerator and Denominator
- **Numerator:** \( 3^2 \cdot 2^3 = 9 \cdot 8 = 72 \)
- **Denominator:** \( 2^2 \cdot 3 = 4 \cdot 3 = 12 \)

### Step 2: Divide the Numerator by the Denominator
\[
\frac{72}{12} = 6
\]

The value of the expression is:

\[
6
\]

Would you like further details on the steps? Here are some related questions to deepen your understanding:

1. How can you simplify similar expressions using exponent properties?
2. What are the rules for multiplying and dividing powers with the same base?
3. How can you factorize expressions involving exponents to find common factors?
4. What is the general method for handling complex fractions with different bases?
5. How would the value change if the exponents were modified slightly?

**Tip:** When working with expressions involving powers, always try to simplify using properties like \( a^m \cdot a^n = a^{m+n} \) before performing multiplication or division.

Найди значение выражения: (3^2 * 2^3) / (2^2 * 3)

Learn how to simplify and solve the expression (3^2 * 2^3) / (2^2 * 3) with a step-by-step explanation. This example demonstrates important exponent rules and is suitable for students in Grades 6-8.

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