\(a,3^2.\left(2\dfrac{2}{3}\right)^2=\left(3.2\dfrac{2}{3}\right)^2=49\)
\(b,\left[12^2.\left(\dfrac{1}{12}\right)^2\right]^{100}=\left[\left(12.\dfrac{1}{12}\right)^2\right]^{100}=1\)
\(c,\dfrac{16}{8^2}=\dfrac{2^4}{2^6}=\dfrac{1}{4}\)
\(d,\left[\dfrac{4^4}{\left(4^2\right)}\right]^2=\left(2^2\right)^2=16\)