https://file.aiquickdraw.com/mathbot/file/1726788826549y602bgwk.jpg

The expression shown in the image is:

\[
\left(\frac{m^3}{n^2}\right)^4
\]

To simplify this expression, we need to apply the power rule, which states that when raising a fraction to an exponent, both the numerator and denominator are raised to that exponent. This leads to:

\[
\frac{(m^3)^4}{(n^2)^4}
\]

Now apply the exponent to both terms:

\[
m^{3 \times 4} = m^{12}, \quad n^{2 \times 4} = n^8
\]

So, the simplified expression is:

\[
\frac{m^{12}}{n^8}
\]

Would you like more details on this, or do you have any questions?

Here are 5 related questions you can explore:
1. What is the general rule for simplifying powers of fractions?
2. How do you handle negative exponents in similar expressions?
3. How would this expression change if the exponent was negative?
4. Can you simplify expressions involving multiple variables raised to different exponents?
5. What is the difference between multiplying powers and raising powers to powers?

**Tip:** Always check for common terms when simplifying to reduce the expression further, if possible!

Learn how to simplify the expression (m^3 / n^2)^4 using exponent rules. This algebra problem introduces key concepts of powers and exponents, suitable for students in Grades 8-10. Follow the step-by-step solution to understand how to apply the power rule.

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