0,52 nhé

tk cho mk nha

0,52 ban a

Kết quả là 0,52. Mình làm bài này rồi

mình nghĩ kết quả bằng 13/25 ! mk cung khong chac dau nhe !

0,52 ban  a

\(\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{9}\right)x\left(1-\frac{1}{16}\right)x...x\left(1-\frac{1}{576}\right)x\left(1-\frac{1}{625}\right)\)

\(=\frac{3}{4}x\frac{8}{9}x\frac{15}{16}x...x\frac{575}{576}x\frac{624}{625}=\frac{1x3}{1x4}x\frac{2x4}{3x3}x\frac{3x5}{4x4}x...x\frac{23x25}{24x24}x\frac{24x26}{25x25}\)

\(=\left(\frac{1}{1}x\frac{2}{3}x\frac{3}{4}x\frac{4}{5}x...x\frac{23}{24}x\frac{24}{25}=\frac{1x2x3x4x...x23x24}{1x3x4x5x...x24x25}=\frac{2}{25}\right)\left(\frac{3}{5}x\frac{4}{3}x\frac{5}{4}x\frac{6}{5}x...x\frac{25}{24}x\frac{26}{25}=\frac{3x4x5x6x...x25x26}{5x3x4x5x...x24x25}=\frac{26}{5}\right)\)

\(\frac{2}{25}x\frac{26}{5}=\frac{52}{50}=\frac{26}{25}\)

nguyễn như đạt sai rồi kết quả phải là 13/25 mk làm rùi 

ket qua =13/25 do dat a

\(\left(1-\frac{1}{4}\right)\left(1-\frac{1}{9}\right)\left(1-\frac{1}{16}\right)......\left(1-\frac{1}{625}\right)\)

= \(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}......\frac{624}{625}\)

= \(\frac{1.3.2.4.3.5.....24.26}{2.2.3.3.4.4......25.25}\)

= \(\frac{\left(1.2.3....24\right)\left(3.4.5....26\right)}{\left(2.3.4....25\right)\left(2.3.4....25\right)}\)

= \(\frac{26}{25.2}\)

= \(\frac{13}{25}\)