Question

Answer 1

a.

\(=\dfrac{34}{3}\left(-\dfrac{1}{5}\right)+\dfrac{2}{3}\left(-\dfrac{1}{5}\right)=\left(-\dfrac{1}{5}\right).\left(\dfrac{34}{3}+\dfrac{2}{3}\right)=\left(-\dfrac{1}{5}\right)\left(\dfrac{36}{3}\right)\)

\(=\left(-\dfrac{1}{5}\right).12=-\dfrac{12}{5}\)

Answer 2

b: \(=5\cdot\dfrac{1}{25}:\left[\dfrac{1}{9}+\dfrac{1}{2}-\dfrac{4}{3}\right]\)

\(=\dfrac{1}{5}:\dfrac{-13}{18}=\dfrac{-1}{5}\cdot\dfrac{18}{13}=\dfrac{-18}{65}\)

c: \(=\dfrac{3^{10}\cdot2^{30}}{2^9\cdot2^{20}\cdot3^9}=3\cdot2=6\)

d: \(=11+2010=2021\)