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To solve the given problem, we need to simplify the expression \(\frac{a^6 b^3}{a^2 b^3}\).

### Step-by-Step Solution:

1. **Identify the expression:**
   \[
   \frac{a^6 b^3}{a^2 b^3}
   \]

2. **Simplify the expression by separating the terms with the same base:**
   \[
   \frac{a^6}{a^2} \cdot \frac{b^3}{b^3}
   \]

3. **Simplify each term separately:**

   - For the \(a\) terms:
     \[
     \frac{a^6}{a^2} = a^{6-2} = a^4
     \]

   - For the \(b\) terms:
     \[
     \frac{b^3}{b^3} = b^{3-3} = b^0 = 1
     \]

4. **Combine the simplified terms:**
   \[
   a^4 \cdot 1 = a^4
   \]

### Conclusion:
\[
\frac{a^6 b^3}{a^2 b^3} = a^4
\]

Would you like more details or have any questions? Here are some more questions you might be interested in:

1. How to simplify other expressions involving exponents?
2. What are the properties of exponents?
3. How to simplify fractions with different bases?
4. How to solve equations involving exponents?
5. What are some common mistakes to avoid when working with exponents?

**Tip:** When simplifying expressions with exponents, always remember the basic properties such as \(a^m / a^n = a^{m-n}\) and \(a^0 = 1\).

Learn how to simplify the expression a^6 b^3 / a^2 b^3 using exponent rules. This problem involves exponentiation and fraction simplification. Suitable for students in Grades 6-8.

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