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\(\frac{\left(3.4.4^4-2.4^5\right)}{4^5}=\frac{\left(3.4^5-2.4^5\right)}{4^5}=\frac{4^5.\left(3-2\right)}{4^5}=1.\)
( 12.44- 2.45 ) :45
= ( 3. 45- 2.45):45
=(45.(3-2) ) :45
=45:45
=1
\(\frac{1}{2.4}+\frac{1}{4.6}+...+\frac{1}{\left(2x-2\right).2x}\)= \(\frac{1}{8}\)
\(\frac{1}{2}.\left(\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{\left(2x-2\right).2x}\right)\)= \(\frac{1}{8}\)
\(\frac{1}{2}.\left(\frac{1}{2}-\frac{1}{2x}\right)\)= \(\frac{1}{8}\)
=> \(\frac{1}{2}-\frac{1}{2x}\)= \(\frac{1}{4}\)
=> 1/2x = 1/4
=> 2x = 4
x = 4 : 2
x = 2
\(\frac{1}{2.4}+\frac{1}{4.6}+...+\frac{1}{\left(2x-2\right)2x}=\frac{1}{8}\)
\(\Rightarrow\frac{1}{2}\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{2x-2}-\frac{1}{2x}\right)=\frac{1}{8}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{2x}=\frac{1}{8}.2=\frac{1}{4}\)
\(\Rightarrow\frac{1}{2x}=\frac{1}{2}-\frac{1}{4}=\frac{1}{4}\)
\(\Rightarrow2x=4\Leftrightarrow x=2\)
\(\dfrac{4}{2\cdot4}+\dfrac{4}{4\cdot6}+\dfrac{4}{6\cdot8}+...+\dfrac{4}{x\left(x+2\right)}=\dfrac{2011}{2013}\)
\(\Leftrightarrow2\left(\dfrac{2}{2\cdot4}+\dfrac{2}{4\cdot6}+\dfrac{2}{6\cdot8}+...+\dfrac{2}{x\left(x+2\right)}\right)=\dfrac{2011}{2013}\)
\(\Leftrightarrow\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+...+\dfrac{1}{x}-\dfrac{1}{x-2}=\dfrac{2011}{4026}\)
\(\Leftrightarrow\dfrac{1}{2}-\dfrac{1}{x-2}=\dfrac{2011}{4026}\)\(\Leftrightarrow\dfrac{1}{x-2}=\dfrac{1}{2013}\)
\(\Rightarrow x-2=2013\Rightarrow x=2015\)
a) 2/1 = 8/4
2/8=1/4
8/2=4/1
1/2= 4/8
b) (-2)/(-4)= 3/6
(-2)/3= (-4)/6
6/3= (-4)/(-2)
6/(-4)= 3/(-2)
a) 2/1 = 8/4
2/8=1/4
8/2=4/1
1/2= 4/8
b) (-2)/(-4)= 3/6
(-2)/3= (-4)/6
6/3= (-4)/(-2)
6/(-4)= 3/(-2)
\(\frac{2.4}{6.18}=\frac{1.2}{3.9}=\frac{2}{27}\)
\(\frac{2.4}{6.18}=\frac{8}{108}=\frac{2}{27}\)
cách 1 :
\(\frac{2.4}{6.18}=\frac{8}{108}=\frac{8:4}{108:4}=\frac{2}{27}\)
Cách 2 :
\(\frac{2.4}{6.18}=\frac{1.2}{3.9}=\frac{2}{27}\)