S = ( 1 + 2 - 3 - 4 ) + ( 5 + 6 - 7 - 8 ) + ... + ( 2001 + 2001 - 2003 - 2004 ) + ( 2005 + 2006 )

S = ( - 4 ) + ( - 4 ) + .... + ( - 4 ) + ( 2005 + 2006 )

Dãy S có : 2004 - 1 : 1 + 1 = 2004 số hạng

Dãy số S : 2004 : 4  = 501 số ( - 4 )

Dãy đó S = -4 x 501 = -2004 

S = -2004 + ( 2005 + 2006 ) 

S = -2004 + 4011

S = 2007

giúp mik

\(\dfrac{3}{7}\cdot\dfrac{9}{26}-\dfrac{1}{14}\cdot\dfrac{1}{13}\)

\(=\dfrac{3\cdot9-1}{14\cdot13}=\dfrac{26}{14\cdot13}=\dfrac{2}{14}=\dfrac{1}{7}\)

3/4 x 4/5 + 45 x 1/4 

\(=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)\times\dfrac{4}{5}=1\times\dfrac{4}{5}=\dfrac{4}{5}\)

= 4/5 x ( 3/4 + 1/4 )

= 4/5 x 1

=4/5

Ta có :

\(A=\frac{1}{3}-\frac{3}{4}-\left(-\frac{3}{5}\right)+\frac{1}{72}-\frac{2}{9}-\frac{1}{36}+\frac{1}{15}\)

\(\Rightarrow A=\frac{5}{15}-\frac{54}{72}+\frac{9}{15}+\frac{1}{72}-\frac{16}{72}-\frac{1}{72}+\frac{1}{15}\)

\(\Rightarrow A=\left(\frac{5}{15}+\frac{9}{15}+\frac{1}{15}\right)+\left(-\frac{54}{72}+\frac{1}{72}-\frac{16}{72}-\frac{2}{72}\right)\)

\(\Rightarrow A=1-\frac{71}{72}=\frac{1}{72}\)

8/15 + 7/4 + 7/15 + 5/4

= 8/15 + 7/15 + 7/4 +5/4

= ( 8/15 + 7/15) + ( 7/4 + 5/4)

= 15/15 + 12/4

= 1 + 3

=4

=8/15+7/15+7/4+5/4

=1+3

=4

Bài làm

\(\frac{\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)}{\left(1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\frac{1}{16}\right)}\)

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

\(=\frac{\frac{1}{2}\left(2+1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}\right)}{\frac{1}{2}\left(2-1+\frac{1}{2}-\frac{1}{2^2}+\frac{1}{2^3}\right)}\)

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

\(=\frac{\frac{24}{8}+\frac{4}{8}+\frac{2}{8}+\frac{1}{8}}{\frac{8}{8}+\frac{4}{8}-\frac{2}{8}+\frac{1}{8}}\)

\(=\frac{31}{8}\div\frac{11}{8}\)

\(=\frac{31}{8}\cdot\frac{8}{11}\)

\(=\frac{31}{11}\)

P/S: Trông không thuận tiện lắm :/

Hawy tính giúp mình nha mình cho đúng

789 x 62 - 789 x 8 + 37 x 789 + 789

= 789 x ( 62 - 8 + 37 + 1 )

= 789 x 92

= 72588

~~Cô gái xử nữ~~

\(\frac{72^3}{54^6}\)=\(\frac{\left(9.8\right)^3}{\left(9.6\right)^3}\)=\(\frac{9^3.8^3}{9^3.6^3}\)=\(\frac{8^3}{6^3}\)= \(\frac{2^3.2^3.2^3}{2^3.3^3}\)= \(\frac{2^3.2^3}{3^3}\)= \(\frac{8.8}{27}\)=\(\frac{64}{27}\)