\(\text{g)}25.\left(\dfrac{-1}{5}\right)^3+\dfrac{1}{5}-2.\left(\dfrac{-1}{2}\right)^2-\dfrac{1}{2}\)
\(=25.\dfrac{-1}{125}+\dfrac{1}{5}+\left(-2\right).\dfrac{1}{4}+\dfrac{-1}{2}\)
\(=\dfrac{-1}{5}+\dfrac{1}{5}+\dfrac{-1}{2}+\dfrac{-1}{2}\)
\(=0+\dfrac{-1}{2}+\dfrac{-1}{2}\)
\(=\dfrac{-1}{2}+\dfrac{-1}{2}=-1\)
\(\text{h)}\left(\dfrac{-1}{7}\right)^0-2\dfrac{4}{9}.\left(\dfrac{2}{3}\right)^2\)
\(=1-\dfrac{22}{9}.\dfrac{4}{9}\)
\(=1-\dfrac{88}{81}\)
\(=\dfrac{-7}{81}\)
\(\text{i)}5,7+3,6-3.\left(1,2-2,8\right)\)
\(=5,7+3,6-3.\left(-1,6\right)\)
\(=5,7+3,6-\left(-4,8\right)\)
\(=9,3-\left(-4,8\right)\)
\(=14,1\)
\(\text{j)
}\sqrt{36}-3.\sqrt{\dfrac{1}{4}}+\left|\dfrac{-3}{2}\right|\)
\(=6-3.\dfrac{1}{2}+\dfrac{3}{2}\)
\(=6-\dfrac{3}{2}+\dfrac{3}{2}\)
\(=\dfrac{9}{2}+\dfrac{3}{2}\)
\(=6\)
\(\text{k)}\left(\dfrac{-1}{2}\right)^3-\dfrac{7}{8}:\dfrac{7}{4}+\left|\dfrac{-9}{8}\right|+\sqrt{81}\)
\(=\dfrac{-1}{8}+\dfrac{-7}{8}.\dfrac{4}{7}+\dfrac{9}{8}+9\)
\(=\dfrac{-1}{8}+\dfrac{-1}{2}+\dfrac{9}{8}+9\)
\(=\dfrac{-5}{8}+\dfrac{9}{8}+9\)
\(=\dfrac{1}{2}+9\)
\(=\dfrac{19}{2}\)
\(\text{l)}\dfrac{2^7.9^2}{3^3.2^5}=\dfrac{128.81}{27.32}=\dfrac{10368}{864}=12\)
