a: \(=\dfrac{5^{20}\cdot3^{20}}{3^{10}\cdot5^{20}}=3^{10}\)
b: \(=\left(\dfrac{4}{5}\right)^5:\left(\dfrac{2}{5}\right)^6=\dfrac{2^{10}}{5^5}:\dfrac{2^6}{5^6}=16\cdot5=80\)
c: \(=\dfrac{2^{15}\cdot3^8}{3^3\cdot2^3\cdot2^9}=3^5\cdot2^3\)
d: \(=\dfrac{2^{20}\left(2^{10}+1\right)}{2^{12}+2^{22}}=\dfrac{2^{20}}{2^{12}}=2^8\)