This rule states that if a quotient x/y is raised to a power n, then it can be written as x^n / y^n. Applying this rule to our expression, we get:
$$
\left(\frac{3 m^{4}}{2 n^{5}}\right)^{5} = \left(3^{5} m^{4 \cdot 5}\right) / \left(2^{5} n^{5 \cdot 5}\right)
$$
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