\(\left(\frac{3}{16}\right)^2:\left(\frac{9}{8}\right)^2\)
\(=\left(\frac{3}{16}:\frac{9}{8}\right)^2\)
\(=\left(\frac{2}{3}\right)^2\)
\(=\frac{4}{9}\)
\(\left(\frac{3}{16}\right)^2:\left(\frac{9}{8}\right)^2\\ =\left(\frac{3}{16}:\frac{9}{8}\right)^2\\ =\left(\frac{1}{6}\right)^2\\ =\frac{1}{36}\)