\(\left(-\dfrac{1}{5}\right)^2+\dfrac{9}{25}.\left(-\dfrac{7}{9}\right)^0-\left(\dfrac{1}{3}-\sqrt{\dfrac{25}{64}}\right):\dfrac{7}{8}+\sqrt{0,01}\)
\(=\dfrac{1}{25}+\dfrac{9}{25}.1-\left(\dfrac{1}{3}-\dfrac{5}{8}\right):\dfrac{7}{8}+\dfrac{1}{10}\)
\(=\dfrac{1}{25}+\dfrac{9}{25}.1-\left(\dfrac{8}{24}-\dfrac{15}{24}\right):\dfrac{7}{8}+\dfrac{1}{10}\)
\(=\dfrac{1}{25}+\dfrac{9}{25}.1-\left(-\dfrac{7}{24}\right).\dfrac{8}{7}+\dfrac{1}{10}\)
\(=\dfrac{1}{25}+\dfrac{9}{25}-\left(-\dfrac{7}{24}\right).\dfrac{8}{7}+\dfrac{1}{10}\)
\(=\dfrac{1}{25}+\dfrac{9}{25}-\left(-\dfrac{1}{3}\right)+\dfrac{1}{10}\)
\(=\dfrac{2}{5}-\left(-\dfrac{1}{3}\right)+\dfrac{1}{10}\)
\(=\dfrac{6}{15}-\dfrac{-5}{15}+\dfrac{1}{10}\)
\(=\dfrac{11}{15}+\dfrac{1}{10}\)
\(=\dfrac{110}{150}+\dfrac{15}{150}\)
\(=\dfrac{5}{6}\)
\(\left(-\dfrac{1}{5}\right)^2+\dfrac{9}{25}\left(-\dfrac{7}{9}\right)^0-\left(\dfrac{1}{3}-\sqrt{\dfrac{25}{64}}\right):\dfrac{7}{8}+\sqrt{0,01}\)
\(=\dfrac{1}{25}+\dfrac{9}{25}.1-\left(\dfrac{1}{3}-\dfrac{5}{8}\right):\dfrac{7}{8}+\dfrac{1}{10}\)
\(=\dfrac{2}{5}-\dfrac{-7}{24}:\dfrac{7}{8}+\dfrac{1}{10}\)
\(=\dfrac{2}{5}-\dfrac{-1}{3}+\dfrac{1}{10}\)
\(=\dfrac{11}{15}+\dfrac{1}{10}\)
\(=\dfrac{5}{6}\)
