To solve \( 3^2 \cdot 3^3 \), you can apply the rule of exponents which states:

\[
a^m \cdot a^n = a^{m+n}
\]

In this case, both terms have the same base (3), so you can add the exponents:

\[
3^2 \cdot 3^3 = 3^{2+3} = 3^5
\]

Now, calculate \( 3^5 \):

\[
3^5 = 243
\]

Thus, \( 3^2 \cdot 3^3 = 243 \).

Would you like more details on exponent rules, or have any questions?

Here are 5 related questions:
1. What is \( 2^4 \cdot 2^3 \)?
2. How do you simplify \( 5^6 \cdot 5^2 \)?
3. What is \( x^4 \cdot x^5 \) in terms of \( x \)?
4. How do you solve \( 7^2 \cdot 7^{-3} \)?
5. Can you express \( a^m \cdot a^n \cdot a^p \) using a single exponent?

**Tip:** When multiplying powers with the same base, always add their exponents.

Learn how to solve the exponent problem 3^2 · 3^3 using the product of powers property. This step-by-step solution demonstrates how to apply the formula a^m · a^n = a^(m+n) to simplify the expression and find the answer, 243. Perfect for students in Grades 6-8.

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