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The simplified form of the expression \( \frac{12m^2n^6}{3mn^4} \) is:

\[
4m n^2
\]

Would you like further details or have any questions?

Here are five related questions to expand your understanding:
1. How would the result change if the exponents on \(m\) and \(n\) were different?
2. What happens if the denominator contains additional variables?
3. How would you simplify expressions involving negative exponents?
4. How can this method be applied to complex fractions?
5. What would happen if the expression had more terms?

**Tip:** When simplifying variables with the same base, remember to subtract the exponents during division.

Learn how to simplify the expression 12m^2n^6 ÷ 3mn^4 using algebraic rules for exponents. This problem involves key concepts like simplifying expressions and dividing like terms, suitable for students in Grades 7-9.

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