Question

Answer 1

a: \(=\dfrac{5^{21}\cdot\left(2\cdot5-9\right)}{5^{20}}:\dfrac{5\cdot7^{14}\cdot\left(3\cdot7-19\right)}{7^{14}\cdot4}\)

\(=\dfrac{5}{1}\cdot\dfrac{4}{5\cdot2}=\dfrac{4}{2}=2\)

b: \(=\left(\dfrac{1}{2}+\dfrac{1}{3}\right):\left(\dfrac{1}{2}-\dfrac{1}{3}\right)+\left(\dfrac{1}{2}\cdot1\right):8\)

\(=5+\dfrac{1}{16}=\dfrac{81}{16}\)

c: \(=3-1+\dfrac{1}{8}=2+\dfrac{1}{8}=\dfrac{17}{8}\)