![\left( \cfrac{2x^2}{4y^3} \right)^{-3}\implies \left( \cfrac{4y^3}{2x^2} \right)^{3}\implies \left( \cfrac{2y^3}{x^2} \right)^{3}\implies \cfrac{2^{1\cdot 3}y^{3\cdot 3}}{x^{2\cdot 3}}\implies \cfrac{2^3y^9}{x^6}\implies \cfrac{8y^9}{x^6}~\textit{\large\checkmark} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{2x^2}{4y^3} \right)^{-3}\implies \underset{\bigotimes}{\left( \cfrac{2y^3}{4x^2} \right)^{3}}\implies \left( \cfrac{y^3}{2x^2} \right)^{3}\implies \underset{\bigotimes}{\cfrac{y^9}{2x^6}}](/tpl/images/2622/4460/1fce9.png)
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