a) \(\left(\dfrac{4}{3}-2x\right)^{106}+\left(y-3x\right)^{108}=0\)
Do \(\left\{{}\begin{matrix}\left(\dfrac{4}{3}-2x\right)^{106}\ge0\\\left(y-3x\right)^{108}\ge0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\dfrac{4}{3}-2x=0\\y-3x=0\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{2}{3}\\y=2\end{matrix}\right.\)