Simplify: $ \left\{ \left( \frac{1}{2} \right)^{-1} \times (-4)^{-1} \right\} $

Simplify: $ \left\{ \left( \frac{1}{2} \right)^{-1} \times (-4)^{-1} \right\} $

Solution

$ \left\{\left(\frac{1}{2}\right)^{-1}\times(-4)^{-1}\right\} $ $ =\left\{\left(2\right)^1\times\left(\frac{1}{-4}\right)^1\right\}=\left(2\times\frac{1}{-4}\right)^{-1} $ $ =\left(\frac{-1}{2}\right)^{-1}=(-2)^1=-2 $

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