Answer
$\frac{1}{9}$
Work Step by Step
$(-27)^{-\frac{2}{3}}=\frac{1}{(-27)^{\frac{2}{3}}}=\frac{1}{(-3)^{3\times\frac{2}{3}}}=\frac{1}{(-3)^{2}}=\frac{1}{9}$
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