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Sum of Coefficients of All Terms

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Question

Simplify ${[{(\frac{2}{3})}^{- 1} \times {(\frac{3}{4})}^{- 1}]}^{- 1}$

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Solution

${[{(\frac{2}{3})}^{- 1} \times {(\frac{3}{4})}^{- 1}]}^{- 1}$
$= [{(\frac{2}{3})}^{- 1 \times (- 1)} \times {(\frac{3}{4})}^{- 1 \times (- 1)}]$
$= [(\frac{2}{3}) \times (\frac{3}{4})]$
$= \frac{1}{2}$

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