What is the reciprocal of x, where \(\rm x=\left(\frac{2}{3}\right)^{-3}\div\left(\frac{1}{2}\right)^2\times\left(\frac{2}{3}\right)^2 \)?

1
\(\frac{1}{6}\)
2
\(\frac{1}{9}\)
3
\(\frac{1}{3}\)
4
\(\frac{2}{9}\)

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