# How do you simplify ((3c)/-2)^-1 (d/4)^-2?

Nov 2, 2015

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

#### Explanation:

${\left(\frac{3 c}{- 2}\right)}^{- 1} \equiv \frac{1}{\frac{3 c}{- 2}} \equiv \frac{- 2}{3 c}$.................(1)

${\left(\frac{d}{4}\right)}^{- 2} \equiv \frac{1}{\frac{d}{4}} ^ \left(2\right) \equiv {\left(\frac{4}{d}\right)}^{2} \equiv \frac{4}{d} \times \frac{4}{d} \equiv \frac{16}{{d}^{2}}$ ...... (2)

Putting ( 1 ) and ( 2 ) together gives:

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

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