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Question
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1}\]
Sum
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Solution
\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1} = \frac{1}{- 4} \times \frac{1}{- 3/2}\] → (a−1 = 1/a)
\[= \frac{1}{- 4} \times \frac{2}{- 3}\]
\[= \frac{1}{- 4} \times \frac{2}{- 3}\]
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