Question

Làm hộ e bài 10

Answer 1

10.

\(A=\left(\dfrac{3}{4}-81\right)\left(\dfrac{3^2}{5}-81\right)...\left(\dfrac{3^6}{9}-81\right)....\left(\dfrac{3^{2000}}{2003}-81\right)\)

\(=\left(\dfrac{3}{4}-81\right)\left(\dfrac{3^2}{5}-81\right)...\left(\dfrac{729}{9}-81\right)...\left(\dfrac{3^{2000}}{2003}-81\right)\)

mà \(\dfrac{729}{9}-81=0\Rightarrow A=0\)

 

Answer 2

\(\left(\dfrac{3}{4}-81\right).\left(\dfrac{3^2}{5}-81\right).\left(\dfrac{3^3}{6}-81\right).....\left(\dfrac{3^{2000}}{2003}-81\right)\) 

\(=\left(\dfrac{3}{4}-81\right).\left(\dfrac{3^2}{5}-81\right).\left(\dfrac{3^3}{6}-81\right).....\left(\dfrac{3^6}{9}-81\right).....\left(\dfrac{3^{2000}}{2003}-81\right)\) 

\(=\left(\dfrac{3}{4}-81\right).\left(\dfrac{3^2}{5}-81\right).\left(\dfrac{3^3}{6}-81\right).....0.....\left(\dfrac{3^{2000}}{2003}-81\right)\) 

\(=0\)