\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}...\frac{9999}{10000}=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}....\frac{99.101}{100.100}\)
=\(\frac{1.3.2.4.3.5....999.101}{2.2.3.3.4.4....100.100}=\frac{1.101}{2.100}=\frac{101}{200}\)
\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}...\frac{9999}{10000}=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}....\frac{99.101}{100.100}\)
=\(\frac{1.3.2.4.3.5....999.101}{2.2.3.3.4.4....100.100}=\frac{1.101}{2.100}=\frac{101}{200}\)
\(\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}..........\frac{9999}{10000}\)
\(\frac{3}{4\cdot}\frac{8}{9\cdot}\frac{15}{16}.........\cdot\frac{9999}{10.000}\)=?
C=\(\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot\cdot\cdot\frac{80}{81}\cdot\frac{99}{100}\)
\(\frac{1}{4}\cdot\frac{2}{6}\cdot\frac{3}{8}\cdot\frac{4}{10}\cdot....\cdot\frac{30}{62}\cdot\frac{31}{64}\)
\(\frac{3}{4}\)*\(\frac{8}{9}\)*\(\frac{15}{16}\cdot...\cdot\frac{9999}{10000}\)
dấu sao với dấu . là nhân nha các bạn
các bạn giải nhanh và đầy đủ dùm mik nha. mik đag cần gấp. cảm ơn trước nha :)
Tính A=\(\left(\frac{1}{4}-1\right)\cdot\left(\frac{1}{9}-1\right)\cdot\left(\frac{1}{16}-1\right)\cdot...\cdot\left(\frac{1}{100}-1\right)\cdot\left(\frac{1}{121}-1\right)\)
Tính giá trị các biểu thức:
a)\(A=\frac{12}{3\cdot7}+\frac{12}{7\cdot11}+...+\frac{12}{195\cdot199}\)
b)\(B=\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot...\cdot\frac{2499}{2500}\)
c)\(C=\frac{1}{2}-\frac{1}{2^2}+\frac{1}{2^3}-\frac{1}{2^4}+...+\frac{1}{2^{99}}-\frac{1}{2^{100}}\)
\(\frac{\left(\frac{4}{9}\right)^2\cdot\left(\frac{-9}{16}\right)\cdot\left(-1\right)^{19}}{\left(\frac{4}{25}\right)^2\cdot\left(\frac{-25}{144}\right)^2\cdot\left(\frac{-49}{144}\right)^2}\)tính
giúp mình nha
\(\left(\frac{3}{7}\cdot\frac{4}{15}+\frac{1}{3}\cdot9^{15}\right)^0\cdot\frac{1}{3}\cdot\frac{6^8}{12^4}\)