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Division of Negative Numbers

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Question

Mark (✓) against the correct answer
${(\frac{- 6}{5})}^{- 1} = ?$
(a) $\frac{6}{5}$
(b) $\frac{- 6}{5}$
(c) $\frac{5}{6}$
(d) $\frac{- 5}{6}$

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Solution

(d) $(\frac{- 5}{6})$

${(\frac{- 6}{5})}^{- 1} = {(\frac{5}{- 6})}^{1} = \frac{5}{- 6} = \frac{5 \times - 1}{- 6 \times - 1} = \frac{- 5}{6}$

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