$$=(\frac{2x^{2}y^{-2}}{3a^{2}b^{2}})(\frac{3^{2}a^{2}x^{4}}{y^{-2}})$$
$\frac{6x^{6}}{b^{2}}$
$$\frac{2x^{2}y^{-2}}{3a^{2}b^{2}}\times \frac{9a^{2}x^{4}}{y^{-2}}$$
$$\frac{2x^{2}y^{-2}\times 9a^{2}x^{4}}{3a^{2}b^{2}y^{-2}}$$
$$\frac{2\times 3x^{2}x^{4}}{b^{2}}$$
$$\frac{2\times 3x^{6}}{b^{2}}$$
$$\frac{6x^{6}}{b^{2}}$$
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$\frac{36x^{5}}{b^{2}}$