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The problem you uploaded is the following:

\[
\frac{3a}{3a^{-4}}
\]

### Steps to simplify the expression:

1. **Cancel out the constants**:
   \[
   \frac{3a}{3a^{-4}} = \frac{a}{a^{-4}}
   \]
   Since 3 divided by 3 equals 1, we are left with just the variable part.

2. **Apply the exponent rule**:
   When dividing exponents with the same base, subtract the exponents. This rule is:
   \[
   \frac{a^m}{a^n} = a^{m-n}
   \]
   In this case:
   \[
   a^{1 - (-4)} = a^{1 + 4} = a^5
   \]

Thus, the simplified expression is:
\[
a^5
\]

Would you like further details or have any questions? Here are 5 related questions:

1. How do you simplify expressions with negative exponents?
2. What happens if both exponents in the numerator and denominator are negative?
3. How do you apply the zero exponent rule in expressions like this?
4. Can you explain how the power of a power rule works in exponents?
5. What are the properties of exponents that deal with multiplication and division?

**Tip**: When simplifying exponents, always remember to subtract the exponents in division and be mindful of negative signs!

Simplify the expression \(\frac{3a}{3a^{-4}}\) and express the answer using positive exponents.

This problem demonstrates how to simplify the algebraic expression \(\frac{3a}{3a^{-4}}\) using exponent rules. It covers key algebraic concepts such as division of exponents and the exponent subtraction rule. Suitable for students in Grades 8-10.

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