Question

GIA TRI BIEU THUC

\(\left(\dfrac{1}{2}\right)^2.\left(\dfrac{2}{3}\right)^2.\left(\dfrac{3}{4}\right)^2.............\left(\dfrac{9}{10}\right)^2\)

Answer 1

\(\left(\dfrac{1}{2}\right)^2.\left(\dfrac{2}{3}\right)^2.\left(\dfrac{3}{4}\right)^2.....\left(\dfrac{9}{10}\right)^2\)

\(=\left(\dfrac{1}{1}\right)^2.\left(\dfrac{1}{1}\right)^2.\left(\dfrac{1}{1}\right)^2....\left(\dfrac{1}{10}\right)^2\)

\(=\dfrac{1^2}{10^2}=\dfrac{1}{100}\)

Answer 2

\(\left(\dfrac{1}{2}\right)^2.\left(\dfrac{2}{3}\right)^2.\left(\dfrac{3}{4}\right)^2...\left(\dfrac{9}{10}\right)^2\)

\(=\left(\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}...\dfrac{9}{10}\right)^2=\left(\dfrac{1}{10}\right)^2=\dfrac{1}{100}\)