Simplify 8/(4x^-4)

$\frac{8}{4 x^{- 4}}$

Move $x^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{8 x^{4}}{4}$

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 x^{4}$ .

$\frac{4 (2 x^{4})}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$\frac{4 (2 x^{4})}{4 (1)}$

Cancel the common factor.

$\frac{4 (2 x^{4})}{4 \cdot 1}$

Rewrite the expression.

$\frac{2 x^{4}}{1}$

Divide $2 x^{4}$ by $1$ .

$2 x^{4}$