https://r2.erweima.ai/mathbot/image/1726810028011prqc06fl.jpg

The expression in the image is:

\[
\frac{3}{4} m^3 - \frac{m^2 n}{4} \left( 2 - \frac{n^2}{5} \left( 40 (mn)^{-1} - 5m^{-2} \right) \right)
\]

Would you like me to simplify this expression or solve it for specific values of \(m\) and \(n\)? Let me know if you'd like further clarifications or a step-by-step solution.

Here are 5 questions that could extend this discussion:
1. Would you like to see the full expansion and simplification of this expression?
2. Should I solve this equation for a particular variable?
3. Would you like me to substitute specific values for \(m\) and \(n\)?
4. Do you want a graphical representation of this equation for certain values?
5. Should I explain the role of each term in more detail?

**Tip:** When simplifying complex algebraic expressions, always simplify inner parentheses first and work outward to avoid mistakes.

What is the simplified form of the following expression: \[\frac{3}{4} m^3 - \frac{m^2 n}{4} \left( 2 - \frac{n^2}{5} \left( 40 (mn)^{-1} - 5m^{-2} \right) \right)\]?

Simplify the complex algebraic expression \(\frac{3}{4} m^3 - \frac{m^2 n}{4} \left( 2 - \frac{n^2}{5} \left( 40 (mn)^{-1} - 5m^{-2} \right) \right)\). Learn the step-by-step process involving algebraic concepts, negative exponents, and the distributive property. Suitable for high school students and above.

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