\(2.\left|x-5\right|^4+5.\left|2y-7\right|^5=0\)
\(\Rightarrow2.\left|x-5\right|^4=0\) và \(5.\left|2x-7\right|^5=0\)
+) \(2.\left|x-5\right|^4=0\)
\(\Rightarrow\left|x-5\right|^4=0\)
\(\Rightarrow x-5=0\)
\(\Rightarrow x=5\)
+) \(5.\left|2y-7\right|^5=0\)
\(\Rightarrow\left|2y-7\right|^5=0\)
\(\Rightarrow2y-7=0\)
\(\Rightarrow y=\frac{7}{2}\)
Vậy \(x=5,y=\frac{7}{2}\)