Simplify 8/(2x^-3)

$\frac{8}{2 x^{- 3}}$

Step 1

Move $x^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{8 x^{3}}{2}$

Step 2

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 x^{3}$ .

$\frac{2 (4 x^{3})}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (4 x^{3})}{2 (1)}$

Cancel the common factor.

$\frac{2 (4 x^{3})}{2 \cdot 1}$

Rewrite the expression.

$\frac{4 x^{3}}{1}$

Divide $4 x^{3}$ by $1$ .

$4 x^{3}$