c) \(\frac{16}{2^x}=1\Rightarrow 16=2^x\)

\(\Leftrightarrow 2^4=2^x\Rightarrow x=4\)

d) \((2x-1)^3=-27=(-3)^3\)

\(\Rightarrow 2x-1=-3\)

\(\Rightarrow 2x=-2\Rightarrow x=-1\)

e) \((x-2)^2=1=1^2=(-1)^2\)

\(\Rightarrow \left[\begin{matrix} x-2=1\\ x-2=-1\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=3\\ x=1\end{matrix}\right.\)

f) \((x+\frac{1}{2})^2=\frac{4}{25}=(\frac{2}{5})^2=(\frac{-2}{5})^2\)

\(\Rightarrow \left[\begin{matrix} x+\frac{1}{2}=\frac{2}{5}\\ x+\frac{1}{2}=-\frac{2}{5}\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=\frac{-1}{10}\\ x=\frac{-9}{10}\end{matrix}\right.\)

g) \((x-1)^2=(x-1)^6\)

\(\Leftrightarrow (x-1)^6-(x-1)^2=0\)

\(\Leftrightarrow (x-1)^2[(x-1)^4-1]=0\)

\(\Rightarrow \left[\begin{matrix} (x-1)^2=0\\ (x-1)^4=1=(-1)^4=1^4\end{matrix}\right.\)

\(\Rightarrow \left[\begin{matrix} x=1\\ \left[\begin{matrix} x-1=-1\\ x-1=1\end{matrix}\right.\end{matrix}\right.\)

\(\Rightarrow \left[\begin{matrix} x=1\\ \left[\begin{matrix} x=0\\ x=2\end{matrix}\right.\end{matrix}\right.\)

Vậy \(x=\left\{0;1;2\right\}\)