\(A=\left[\left(\dfrac{1}{5}\right)^9+\left(\dfrac{1}{5}\right)^5\right]:\left[\left(\dfrac{1}{5}\right)\cdot\left[\left(\dfrac{1}{5}\right)^4+1\right]\right]\)
\(=\dfrac{\left(\dfrac{1}{5}\right)^5\cdot\left[\left(\dfrac{1}{5}\right)^4+1\right]}{\dfrac{1}{5}\cdot\left[\left(\dfrac{1}{5}\right)^4+1\right]}=\left(\dfrac{1}{5}\right)^4=\dfrac{1}{625}\)