Simplify (16m^5n^-4)/(2n^-6)

$\frac{16 m^{5} n^{- 4}}{2 n^{- 6}}$

Move $n^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{16 m^{5} n^{- 4} n^{6}}{2}$

Multiply $n^{- 4}$ by $n^{6}$ by adding the exponents.

Move $n^{6}$ .

$\frac{16 m^{5} (n^{6} n^{- 4})}{2}$

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

$\frac{16 m^{5} n^{6 - 4}}{2}$

Subtract $4$ from $6$ .

$\frac{16 m^{5} n^{2}}{2}$

Cancel the common factor of $16$ and $2$ .

Factor $2$ out of $16 m^{5} n^{2}$ .

$\frac{2 (8 m^{5} n^{2})}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (8 m^{5} n^{2})}{2 (1)}$

Cancel the common factor.

$\frac{2 (8 m^{5} n^{2})}{2 \cdot 1}$

Rewrite the expression.

$\frac{8 m^{5} n^{2}}{1}$

Divide $8 m^{5} n^{2}$ by $1$ .

$8 m^{5} n^{2}$