Simplify ((ab)^-1)/(cd^-2)

$\frac{{(a b)}^{- 1}}{c d^{- 2}}$

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

$\frac{1}{c d^{- 2} (a b)}$

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

$\frac{d^{2}}{c a b}$