$\begin{array}{c}\text { 3. Let } a>0, b>0, \text { and } \\ \sqrt{a}(\sqrt{a}+2 \sqrt[3]{b}) \\ =\sqrt[3]{b}(\sqrt[3]{a}+6 \sqrt[3]{b}) . \\ \text { Find the value of } \frac{2 a^{4}+a^{3} b-128 a b^{2}-64 b^{3}+b^{4}}{a^{4}+2 a^{3} b-64 a b^{2}-128 b^{3}+2 b^{4}} .\end{array}$
(Answer: $\frac{1}{2}$ )