Simplify (2(nm^4))/(2m^-1n^-2*n^3)

$\frac{2 (n m^{4})}{2 m^{- 1} n^{- 2} \cdot n^{3}}$

Multiply $n^{- 2}$ by $n^{3}$ by adding the exponents.

Move $n^{3}$ .

$\frac{2 (n m^{4})}{2 m^{- 1} (n^{3} n^{- 2})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2 (n m^{4})}{2 m^{- 1} n^{3 - 2}}$

Subtract $2$ from $3$ .

$\frac{2 (n m^{4})}{2 m^{- 1} n^{1}}$

Simplify $2 m^{- 1} n^{1}$ .

$\frac{2 (n m^{4})}{2 m^{- 1} n}$

Move $m^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{2 (n m^{4}) m}{2 n}$

Multiply $m^{4}$ by $m$ by adding the exponents.

Move $m$ .

$\frac{2 (n (m \cdot m^{4}))}{2 n}$

Multiply $m$ by $m^{4}$ .

Raise $m$ to the power of $1$ .

$\frac{2 (n (m^{1} m^{4}))}{2 n}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2 (n m^{1 + 4})}{2 n}$

Add $1$ and $4$ .

$\frac{2 (n m^{5})}{2 n}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (n m^{5})}{2 n}$

Rewrite the expression.

$\frac{n m^{5}}{n}$

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{n m^{5}}{n}$

Divide $m^{5}$ by $1$ .

$m^{5}$