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31 tháng 5

Ta có: \(3A=\frac{3^{19}+6}{3^{19}+10}=\frac{3^{19}+10-4}{3^{19}+10}=1-\frac{4}{3^{19}+10}\)

\(3B=\frac{3^{18}+6}{3^{18}+10}=\frac{3^{18}+10-4}{3^{18}+10}=1-\frac{4}{3^{18}+10}\)

Ta có: \(3^{19}+10>3^{18}+10\)

=>\(\frac{4}{3^{19}+10}<\frac{4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}>\frac{-4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}+1>\frac{-4}{3^{18}+10}+1\)

=>3A>3B

=>A>B

31 tháng 5

Ta có: \(3A=\frac{3^{19}+6}{3^{19}+10}=\frac{3^{19}+10-4}{3^{19}+10}=1-\frac{4}{3^{19}+10}\)

\(3B=\frac{3^{18}+6}{3^{18}+10}=\frac{3^{18}+10-4}{3^{18}+10}=1-\frac{4}{3^{18}+10}\)

Ta có: \(3^{19}+10>3^{18}+10\)

=>\(\frac{4}{3^{19}+10}<\frac{4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}>\frac{-4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}+1>\frac{-4}{3^{18}+10}+1\)

=>3A>3B

=>A>B

31 tháng 5

Ta có: \(3A=\frac{3^{19}+6}{3^{19}+10}=\frac{3^{19}+10-4}{3^{19}+10}=1-\frac{4}{3^{19}+10}\)

\(3B=\frac{3^{18}+6}{3^{18}+10}=\frac{3^{18}+10-4}{3^{18}+10}=1-\frac{4}{3^{18}+10}\)

Ta có: \(3^{19}+10>3^{18}+10\)

=>\(\frac{4}{3^{19}+10}<\frac{4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}>\frac{-4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}+1>\frac{-4}{3^{18}+10}+1\)

=>3A>3B

=>A>B

31 tháng 5

Ta có: \(3A=\frac{3^{19}+6}{3^{19}+10}=\frac{3^{19}+10-4}{3^{19}+10}=1-\frac{4}{3^{19}+10}\)

\(3B=\frac{3^{18}+6}{3^{18}+10}=\frac{3^{18}+10-4}{3^{18}+10}=1-\frac{4}{3^{18}+10}\)

Ta có: \(3^{19}+10>3^{18}+10\)

=>\(\frac{4}{3^{19}+10}<\frac{4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}>\frac{-4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}+1>\frac{-4}{3^{18}+10}+1\)

=>3A>3B

=>A>B

31 tháng 5

Ta có: \(3A=\frac{3^{19}+6}{3^{19}+10}=\frac{3^{19}+10-4}{3^{19}+10}=1-\frac{4}{3^{19}+10}\)

\(3B=\frac{3^{18}+6}{3^{18}+10}=\frac{3^{18}+10-4}{3^{18}+10}=1-\frac{4}{3^{18}+10}\)

Ta có: \(3^{19}+10>3^{18}+10\)

=>\(\frac{4}{3^{19}+10}<\frac{4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}>\frac{-4}{3^{18}+10}\)

=>\(\frac{-4}{3^{19}+10}+1>\frac{-4}{3^{18}+10}+1\)

=>3A>3B

=>A>B

30 tháng 5

Ta có; \(3A=\frac{3^{19}+6}{3^{19}+10}=\frac{3^{19}+10-4}{3^{19}+10}=1-\frac{4}{3^{19}+10}\)

\(3B=\frac{3^{18}+6}{3^{18}+10}=\frac{3^{18}+10-4}{3^{18}+10}=1-\frac{4}{3^{18}+10}\)

Ta có: \(3^{19}+10>3^{18}+10\)

=>\(\frac{4}{3^{19}+10}<\frac{4}{3^{18}+10}\)

=>\(-\frac{4}{3^{19}+10}>-\frac{4}{3^{18}+10}\)

=>\(-\frac{4}{3^{19}+10}+1>-\frac{4}{3^{18}+10}+1\)

=>3A>3B

=>A>B

19 tháng 9 2021

\(A\)\(=\dfrac{3^{18}+2}{3^{19}+10}\)

\(17A=\dfrac{3^{19}+6}{3^{19}+10}=1-\dfrac{4}{3^{19}+10}\)

\(B=\dfrac{3^{17}+2}{3^{18}+10}\)

\(17B=\dfrac{3^{18}+6}{3^{18}+10}=1-\dfrac{4}{3^{18}+10}\)

Vì \(\dfrac{4}{3^{19}+10}< \dfrac{4}{3^{18}+10}\)

\(1-\dfrac{4}{3^{19}+10}\) \(>\) \(1-\dfrac{4}{3^{18}+10}\)

\(A>B\)

 

22 tháng 8 2017

1.

a,6/11, 19/33, 13/22

b, -10/7, -18/12, -8/5