a: \(9\cdot3^2\cdot\dfrac{1}{81}\cdot27=3^2\cdot\dfrac{3^2}{3^4}\cdot3^3=3^3\)
b: \(\dfrac{2^2\cdot4\cdot32}{\left(-2\right)^2\cdot2^5}=\dfrac{2^2}{2^2}\cdot\dfrac{2^2\cdot2^5}{2^5}=2^2\)
c: \(4\cdot16:\left(2^3\cdot\dfrac{1}{16}\right)=2^2\cdot2^4:\left(\dfrac{2^3}{2^4}\right)\)
\(=2^6\cdot2=2^7\)