Evaluate: ${\{{(\frac{- 2}{3})}^{3}\}}^{- 2} .$

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Solution

${\{{(\frac{- 2}{3})}^{3}\}}^{- 2} = {(\frac{- 2}{3})}^{- 6} = {(\frac{3}{- 2})}^{6} = \frac{3^{6}}{- 2^{6}} = \frac{729}{64}$

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