a,\(\dfrac{9^2.2^{12}}{16^2}=\dfrac{\left(3^2\right)^2.2^{12}}{\left(2^4\right)^2.\left(3^4\right)^2}=\dfrac{3^4.2^{12}}{2^8.3^8}=\dfrac{2^4}{3^4}=\dfrac{16}{81}\)
b,\(\dfrac{\left(-3\right)^7.\left(-3\right)^8}{5.9^7}=\dfrac{\left(-3\right)^{15}}{5.3^{14}}=\dfrac{-3}{5}\)
c,\(\dfrac{\left(0,3\right)^7.\left(0,04\right)^4}{\left(0,09\right)^5.\left(0,2\right)^5}=\dfrac{\left(0,3\right)^7.\left(0,2\right)^8}{\left(0,3\right)^{10}.\left(0,2\right)^2}=\dfrac{\left(0,2\right)^6}{\left(0,3\right)^3}=\dfrac{8}{3375}\)
d,\(\dfrac{2^3+2^4+2^5+2^6}{6^2}=\dfrac{120}{36}=\dfrac{10}{3}\)