https://file.aiquickdraw.com/mathbot/file/1727040686094ybu5afei.jpg

tolong berikan jawabanya, aku kurang paham

The expression you uploaded is:

\[
\frac{a^3 b^4 c^3}{c^6 a}
\]

### Step-by-step solution:

1. **Simplify the terms with the same base:**

   For the base \(a\):
   \[
   \frac{a^3}{a} = a^{3-1} = a^2
   \]

   For the base \(b\):
   There is no \(b\) term in the denominator, so the term \(b^4\) remains unchanged.

   For the base \(c\):
   \[
   \frac{c^3}{c^6} = c^{3-6} = c^{-3}
   \]

2. **Final simplified expression:**
   \[
   a^2 b^4 c^{-3}
   \]
   This can also be written as:
   \[
   a^2 b^4 \frac{1}{c^3}
   \]

Thus, the simplified result is:

\[
\boxed{a^2 b^4 c^{-3}}
\]

Let me know if you would like further clarifications!

### Related Questions:
1. How do you simplify expressions with negative exponents?
2. How would the result change if the exponents in the numerator and denominator were swapped?
3. What happens if there are fractional exponents in this kind of expression?
4. How do you multiply two expressions with exponents together?
5. Can you explain how the product rule of exponents works in this case?

### Tip:
When simplifying fractions involving exponents, always subtract the exponents of like bases when dividing them.

Learn how to simplify the algebraic expression a^3 b^4 c^3 / c^6 a by applying exponent rules. This problem covers concepts such as exponent subtraction, negative exponents, and simplifying fractional expressions. Ideal for students in Grades 9-11.

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