The problem asks us to simplify the expression $(\frac{m}{n^7})^4$.

1. Problem Description

The problem asks us to simplify the expression $(\frac{m}{n^7})^4$.

2. Solution Steps

We need to raise the fraction $\frac{m}{n^7}$ to the power of

4. Recall that $(\frac{a}{b})^n = \frac{a^n}{b^n}$.

Using this rule, we have:

$(\frac{m}{n^7})^4 = \frac{m^4}{(n^7)^4}$

Now, we need to simplify $(n^7)^4$. Recall that $(a^m)^n = a^{m \cdot n}$.

So, $(n^7)^4 = n^{7 \cdot 4} = n^{28}$.

Therefore, $(\frac{m}{n^7})^4 = \frac{m^4}{n^{28}}$.

3. Final Answer

$\frac{m^4}{n^{28}}$