Question

 

Tính (16/3-2 mũ 2x5/3).(17/3-2 mũ 2x5/3)......(30/3-2 mũ 2x5/3)

Answer 1

\(\left(\dfrac{16}{3}-2^2\cdot\dfrac{5}{3}\right)\left(\dfrac{17}{3}-2^2\cdot\dfrac{5}{3}\right)\cdot...\cdot\left(\dfrac{30}{3}-2^2\cdot\dfrac{5}{3}\right)\)

\(=\left(\dfrac{20}{3}-\dfrac{20}{3}\right)\left(\dfrac{16}{3}-\dfrac{20}{3}\right)\cdot...\cdot\left(\dfrac{30}{3}-\dfrac{20}{3}\right)\)

\(=0\cdot\dfrac{-4}{3}\cdot...\cdot\dfrac{10}{3}=0\)

Answer 2

\(\left(\dfrac{16}{3}-\dfrac{2^2.5}{3}\right)\left(\dfrac{17}{3}-\dfrac{2^2.5}{3}\right).....\left(\dfrac{30}{3}-\dfrac{2^2.5}{3}\right)\)

\(=\left(\dfrac{16}{3}-\dfrac{4.5}{3}\right)\left(\dfrac{17}{3}-\dfrac{4.5}{3}\right).....\left(\dfrac{30}{3}-\dfrac{4.5}{3}\right)\)

\(=\left(\dfrac{16}{3}-\dfrac{20}{3}\right)\left(\dfrac{17}{3}-\dfrac{20}{3}\right).....\left(\dfrac{30}{3}-\dfrac{20}{3}\right)\)

\(=\left(\dfrac{16}{3}-\dfrac{20}{3}\right)\left(\dfrac{17}{3}-\dfrac{20}{3}\right).....\left(\dfrac{20}{3}-\dfrac{20}{3}\right)\left(\dfrac{30}{3}-\dfrac{20}{3}\right)\)

\(=\left(\dfrac{16}{3}-\dfrac{20}{3}\right)\left(\dfrac{17}{3}-\dfrac{20}{3}\right).....0.\left(\dfrac{30}{3}-\dfrac{20}{3}\right)\)

\(=0\)