Simplify ((3c)/-2)^-1(d/4)^-2

${(\frac{3 c}{- 2})}^{- 1} {(\frac{d}{4})}^{- 2}$

Move the negative in front of the fraction.

${(- \frac{3 c}{2})}^{- 1} {(\frac{d}{4})}^{- 2}$

Change the sign of the exponent by rewriting the base as its reciprocal.

$- \frac{2}{3 c} {(\frac{d}{4})}^{- 2}$

Change the sign of the exponent by rewriting the base as its reciprocal.

$- \frac{2}{3 c} {(\frac{4}{d})}^{2}$

Apply the product rule to $\frac{4}{d}$ .

$- \frac{2}{3 c} \cdot \frac{4^{2}}{d^{2}}$

Raise $4$ to the power of $2$ .

$- \frac{2}{3 c} \cdot \frac{16}{d^{2}}$

Multiply $- \frac{2}{3 c} \cdot \frac{16}{d^{2}}$ .

Multiply $\frac{16}{d^{2}}$ by $\frac{2}{3 c}$ .

$- \frac{16 \cdot 2}{d^{2} (3 c)}$

Multiply $16$ by $2$ .

$- \frac{32}{d^{2} (3 c)}$

Move $3$ to the left of $d^{2}$ .

$- \frac{32}{3 d^{2} c}$