Simplify 1/((-2z)^-2)

$\frac{1}{{(- 2 z)}^{- 2}}$

Step 1

Move ${(- 2 z)}^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(- 2 z)}^{2}$

Step 2

Apply the product rule to $- 2 z$ .

${(- 2)}^{2} z^{2}$

Step 3

Raise $- 2$ to the power of $2$ .

$4 z^{2}$