Answer
$\frac{1}{81}$
Work Step by Step
$(\frac{5}{9}-\frac{2}{3})^{2}$
$=(\frac{5}{9}-\frac{6}{9})^{2}$
$=(-\frac{1}{9})^{2}$
$=[(-\frac{1}{9})\times(-\frac{1}{9})]$
$=(\frac{1}{9}\times\frac{1}{9})$
$=\frac{1}{81}$
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