To simplify the expression \((2a^7)(3a^2)\), we follow these steps:

1. **Multiply the constants**:  
   \(2 \times 3 = 6\).

2. **Combine the powers of \(a\)**:  
   When multiplying powers of the same base, you add the exponents.  
   \(a^7 \times a^2 = a^{7+2} = a^9\).

Thus, the simplified expression is:

\[
6a^9
\]

Would you like further explanation or details? 

Here are 5 related questions to explore:
1. How do you handle exponents when dividing terms with the same base?
2. What are the properties of exponents in multiplication and division?
3. How do you expand expressions involving higher powers?
4. Can you simplify \((3a^5)(4a^3)\) using similar steps?
5. How would you simplify \((5x^4)(2x^3)\) and why does this method work?

**Tip**: Always add exponents when multiplying terms with the same base!

Learn how to simplify the expression (2a^7)(3a^2) using exponent rules. This solution involves multiplying constants and combining powers of the same base by adding exponents. Suitable for students in Grades 7-9.

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