9: \(\left(-\dfrac{1}{2}\right)^3+\left|-\dfrac{9}{8}\right|-\dfrac{5}{12}:\dfrac{5}{6}+\sqrt{25}\)
\(=\dfrac{-1}{8}+\dfrac{9}{8}-\dfrac{5}{12}\cdot\dfrac{6}{5}+5\)
\(=1-\dfrac{1}{2}+5=6-\dfrac{1}{2}=\dfrac{11}{2}\)
10: \(\left(-\dfrac{1}{3}\right)^2\cdot\sqrt{\dfrac{9}{4}}-\left|-\dfrac{2}{3}\right|+\left(\dfrac{2021}{2022}\right)^0\)
\(=\dfrac{1}{9}\cdot\dfrac{3}{2}-\dfrac{2}{3}+1\)
\(=\dfrac{1}{6}-\dfrac{2}{3}+1\)
\(=\dfrac{1-4+6}{6}=\dfrac{3}{6}=\dfrac{1}{2}\)
11: \(\sqrt{\dfrac{16}{9}}+\left(\dfrac{2}{3}\right)^9:\left(-\dfrac{2}{3}\right)^8-\left|-2020\right|\)
\(=\dfrac{4}{3}+\left(\dfrac{2}{3}\right)^9:\left(\dfrac{2}{3}\right)^8-2020\)
\(=\dfrac{4}{3}+\dfrac{2}{3}-2020\)
=2-2020
=-2018
12: \(\left(-\dfrac{2}{3}\right)^2\cdot\dfrac{9}{16}-\sqrt{\dfrac{4}{81}}:\dfrac{16}{9}+\left(-2019\right)^0\)
\(=\dfrac{4}{9}\cdot\dfrac{9}{16}-\dfrac{2}{9}\cdot\dfrac{9}{16}+1\)
\(=\dfrac{1}{4}-\dfrac{1}{8}+1=\dfrac{1}{8}+1=\dfrac{9}{8}\)
13: \(\dfrac{2}{5}+\left|-\dfrac{3}{7}\right|+\dfrac{6}{35}+\sqrt{34-25}\)
\(=\dfrac{2}{5}+\dfrac{3}{7}+\dfrac{6}{35}+\sqrt{9}\)
\(=\dfrac{14+15+6}{35}+3\)
=1+3
=4