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\left(\frac{2}{3}\times 9\right)^{-2}
Divide \frac{2}{3} by \frac{1}{9} by multiplying \frac{2}{3} by the reciprocal of \frac{1}{9}.
6^{-2}
Multiply \frac{2}{3} and 9 to get 6.
\frac{1}{36}
Calculate 6 to the power of -2 and get \frac{1}{36}.