\(\left(x-2\right)^2+\left(y+16\right)^{2016}=0\)
Vì: \(\left(x-2\right)^2\ge0;\left(y+16\right)^{2016}\ge0\)
Nên: \(\left(x-2\right)^2+\left(y+16\right)^{2016}=0\)
\(\Leftrightarrow\begin{cases}x-2=0\\y+16=0\end{cases}\)\(\Leftrightarrow\begin{cases}x=2\\y=-16\end{cases}\)