Question

Answer 1

a: \(=\left(\dfrac{2}{12}-\dfrac{9}{12}\right):\dfrac{7}{3}+\left(-27\right)\cdot\left(7+\dfrac{7}{9}-9-\dfrac{2}{3}\right)\)

\(=\dfrac{-7}{12}\cdot\dfrac{3}{7}+\left(-27\right)\cdot\left(-2+\dfrac{1}{9}\right)\)

=-1/4+(-27)*(-17/9)

=-1/4+51

=50,75

b: \(=\dfrac{3}{25}\left(\dfrac{8}{14}-\dfrac{1}{14}\right)-\dfrac{1}{25}=\dfrac{3}{25}\cdot\dfrac{1}{2}-\dfrac{1}{25}=\dfrac{3}{50}-\dfrac{2}{50}=\dfrac{1}{50}\)

c: \(=\dfrac{7}{2}-25\cdot\dfrac{3}{5}+\dfrac{1}{8}\cdot16-9=\dfrac{7}{2}-15+2-9=\dfrac{7}{2}-22=-\dfrac{37}{2}\)

d: \(=\dfrac{1}{15}\cdot\dfrac{7^8\cdot2^4}{7^6\cdot2^6}=\dfrac{1}{15}\cdot\dfrac{49}{4}=\dfrac{49}{60}\)