Express the following as a rational number: (-2 3 )^ -1 - Vidyadip

Question

Express the following as a rational number: $\Big(\frac{-2}{3}\Big)^{-1}$

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Answer

$\Big(\frac{-2}{3}\Big)^{-1}=\Big(\frac{3}{-2}\Big)^1$ $=\frac{3}{-2}=\frac{3\times(-1)}{-2\times(-1)}$ $=\frac{-3}{2}$

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