Question

\(6.\left(-\dfrac{2}{3}\right)^3-3.\left(-\dfrac{2}{3}\right)^2-2.\left(-\dfrac{2}{3}\right)+4\)

\(\left(\dfrac{2}{25}-1,008\right):\dfrac{4}{7}:\left[\left(3\dfrac{1}{4}-6\dfrac{5}{9}\right).2\dfrac{2}{17}\right]\)

Answer 1

6:

\(=\dfrac{-8}{27}-3\cdot\dfrac{4}{9}+\dfrac{4}{3}+4\)

\(=-\dfrac{8}{27}+4=\dfrac{100}{27}\)

7: \(=\left(\dfrac{2}{25}-\dfrac{126}{125}\right)\cdot\dfrac{7}{4}:\left[\left(\dfrac{13}{4}-\dfrac{59}{9}\right)\cdot\dfrac{36}{17}\right]\)

\(=\dfrac{-116}{125}\cdot\dfrac{7}{4}:\left[\dfrac{117-236}{36}\cdot\dfrac{36}{17}\right]\)

\(=\dfrac{-116}{125}\cdot\dfrac{7}{4}:\left(-7\right)=\dfrac{116}{125}\cdot\dfrac{7}{4}\cdot\dfrac{1}{7}=\dfrac{29}{125}\)