Question

Express the following as a rational number in the form \[\frac{p}{q}:\]

\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1}\]

Answer 1

\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1} = \frac{1}{- 4} \times \frac{1}{- 3/2}\] → (a⁻¹ = 1/a)

\[= \frac{1}{- 4} \times \frac{2}{- 3}\]

\[= \frac{1}{- 4} \times \frac{2}{- 3}\]