Simplify $$ \frac{m^{2}}{2 n^{5}} \div \frac{\sqrt[3]{m^{5}}}{n^{-8}} $$, expres

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To simplify the expression $$ \frac{m^{2}}{2 n^{5}} \div \frac{\sqrt[3]{m^{5}}}{n^{-8}} $$, we can follow these steps:

1. Rewrite the division as multiplication by the reciprocal:
   $$
   \frac{m^{2}}{2 n^{5}} \times \frac{n^{-8}}{\sqrt[3]{m^{5}}}
   $$

2. Combine the fractions:
   $$
   \frac{m^{2} \cdot n^{-8}}{2 n^{5} \cdot \sqrt[3]{m^{5}}}
   $$

3. Now, we can simplify the expression by combining the terms in the numerator and the denominator.

Let's perform the calculations step by step.

First, we will express $$ \sqrt[3]{m^{5}} $$ in exponent form:
$$
\sqrt[3]{m^{5}} = m^{\frac{5}{3}}
$$

Now, substituting this back into the expression gives us:
$$
\frac{m^{2} \cdot n^{-8}}{2 n^{5} \cdot m^{\frac{5}{3}}}
$$

Next, we can simplify the expression further. Let's calculate this.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{m^{2}n^{-8}}{2n^{5}m^{\frac{5}{3}}}$$
- step1: Reduce the fraction:
  $$\frac{m^{\frac{1}{3}}}{2n^{13}}$$
- step2: Simplify:
  $$\frac{\sqrt[3]{m}}{2n^{13}}$$
The simplified expression for $$ \frac{m^{2}}{2 n^{5}} \div \frac{\sqrt[3]{m^{5}}}{n^{-8}} $$ is

$$
\frac{\sqrt[3]{m}}{2n^{13}}
$$
The simplified expression is $$ \frac{\sqrt[3]{m}}{2n^{13}} $$.

Simplify , expres

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