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Simplify the multi-step expression to lowest terms: (2x3y÷4x29y3)⋅27y8x\(\displaystyle\) \(\left\)( \(\frac{2x}{3y}\) \(\div\) \(\frac{4x^2}{9y^3}\) \(\right\)) \(\cdot\) \(\frac{27y}{8x}\)

Simplify the multi-step expression to lowest terms: $(\frac{2 x}{3 y} \div \frac{4 x^{2}}{9 y^{3}}) \cdot \frac{27 y}{8 x}$