\(=1\frac{364}{729}\)\(=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}=1+\frac{243}{729}+\frac{81}{729}+\frac{27}{729}+\frac{9}{729}+\frac{3}{729}+\frac{1}{729}=1\frac{ }{ }\)

\(=1\frac{364}{729}\)

\(\frac{16}{27}\) tích mình nha !

#)Giải :

Bài 1 :

\(A=\frac{1}{5}+\frac{1}{10}+\frac{1}{20}+...+\frac{1}{1280}\)

\(\Rightarrow A\times2=\frac{2}{5}-\left(\frac{1}{5}+\frac{1}{10}+\frac{1}{20}+...+\frac{1}{1280}\right)-\frac{1}{1280}\)

\(\Rightarrow A\times2=\frac{2}{5}-A-\frac{1}{1280}\)

\(\Rightarrow A\times2+A=\frac{2}{5}-\frac{1}{1280}\)

\(\Rightarrow A=\frac{2}{5}-\frac{1}{1280}\)

\(\Rightarrow A=\frac{511}{1280}\)

#)Giải :

Bài 2 :

\(B=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...+\frac{1}{59049}\)

\(B=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{10}}\)

\(3B=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^9}\)

\(3B-B=\left(1+\frac{1}{3}+\frac{1}{3^2}...+\frac{1}{3^9}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{10}}\right)\)

\(2B=1-\frac{1}{3^{10}}\)

\(B=\frac{1-\frac{1}{3^{10}}}{2}\)

Bạn ơi bài 2 m ko hỉu

a) \(27^{64}:81^{20}=3^{192}:3^{80}=3^{112}\)

b) \(\left(\dfrac{1}{8}\right)^{20}:\left(\dfrac{1}{16}\right)^9=\left(\dfrac{1}{2}\right)^{60}:\left(\dfrac{1}{2}\right)^{36}=\left(\dfrac{1}{2}\right)^{24}\)

c) \(\dfrac{1}{3}:\dfrac{1}{5}-\dfrac{1}{6}=\dfrac{5}{3}-\dfrac{1}{6}=\dfrac{10}{6}-\dfrac{1}{6}=\dfrac{9}{6}=\dfrac{3}{2}\)

Làm lại đề cho:

\(\left(\frac{1}{4}-1\right)\cdot\left(\frac{1}{9}-1\right)\cdot\left(\frac{1}{16}-1\right)...\left(\frac{1}{81}-1\right)\cdot\left(\frac{1}{100}-1\right)\)

Tính nhẩm

TOI KO BIET

Đặt \(A=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}\)

\(A=1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}\)

\(3A=3+1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}\)

\(3A-A=3+1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}-1-\frac{1}{3}-\frac{1}{3^2}-\frac{1}{3^3}-\frac{1}{3^4}\)

\(2A=3-\frac{1}{3^4}\)

\(2A=\frac{243}{81}-\frac{1}{81}\)

\(2A=\frac{242}{81}\)

\(A=\frac{242}{81}\div2\)

\(A=\frac{242}{162}=\frac{121}{81}\)

81/81+27/81+9/81+3/81+1/81=115/81

số quyển sách tăng hằng năm là:2760:100.15=414(quyển)

năm 2005 thư viện tăng số quyển sách là:2760-414=2346(quyển)

năm 2007 thư viện tăng số quyển sách là:2760+414=3174(quyển)

Đ/s

\(\dfrac{1}{27}\cdot3^x=81\)

\(\Rightarrow3^x=81:\dfrac{1}{27}\)

\(\Rightarrow3^x=2187\)

\(\Rightarrow3^x=3^7\)

\(\Rightarrow x=7\)

Lớn hơn, bn nhé

364/729 nha

thank bạn nha