$$\{ ( \frac { 2 } { 3 } ) ^ { 2 } \} ^ { 3 } \times ( \frac { 1 } { 3 } ) ^ { - 3 } \times ( 9 ) ^ { - 1 }$$
$\frac{64}{243}\approx 0.263374486$
$$\left(\frac{2}{3}\right)^{6}\times \left(\frac{1}{3}\right)^{-3}\times 9^{-1}$$
$$\frac{64}{729}\times \left(\frac{1}{3}\right)^{-3}\times 9^{-1}$$
$$\frac{64}{729}\times 27\times 9^{-1}$$
$$\frac{64}{27}\times 9^{-1}$$
$$\frac{64}{27}\times \frac{1}{9}$$
$$\frac{64}{243}$$
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$\frac{2 ^ {6}}{3 ^ {5}} = 0.26337448559670784$