$$(\frac{a^{2}}{b^{4}})^{\frac{3}{2}}$$
$\frac{\left(|a|\right)^{3}}{b^{6}}$
$$\frac{\left(a^{2}\right)^{\frac{3}{2}}}{\left(b^{4}\right)^{\frac{3}{2}}}$$
$$\frac{a^{3}}{\left(b^{4}\right)^{\frac{3}{2}}}$$
$$\frac{a^{3}}{b^{6}}$$
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$\frac{3a|a|}{b^{6}}$
