Simplify (8y^-2)/(2x)

$\frac{(8 y^{- 2})}{2 x}$

Move $y^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

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

Factor $2$ out of $8$ .

$\frac{2 \cdot 4}{2 x y^{2}}$

Cancel the common factors.

Factor $2$ out of $2 x y^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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