Answer
$63$
Work Step by Step
We are given $ \lim\limits_{(x,y) \to (2,5)}f(x,y)=3$ and $ \lim\limits_{(x,y) \to (2,5)}g(x,y)=7$, then we have
$$ \lim\limits_{(x,y) \to (2,5)}(f(x,y)^2g(x,y))=\lim\limits_{(x,y) \to (2,5)}f(x,y)^2\lim\limits_{(x,y) \to (2,5)}g(x,y)\\=3^2\times7=9\times7=63$$
