\(N=\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{15}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{15}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}\left(3^5+5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)

cho mk sửa lại xíu:

\(\frac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}.5}=\frac{2.6}{3.5}=\frac{12}{15}=\frac{4}{5}\)

mk sai xíu. hihi, học tốt nhé !

la so con mat may lon hon

Ta có :

\(A=\frac{333333335}{333333338}=\frac{3.111111110+5}{3.111111110+8}=\frac{5}{8}\)

\(B=\frac{555555553}{555555558}=\frac{5.111111110+3}{5.111111110+8}=\frac{3}{8}\)

Vì \(\frac{3}{8}< \frac{5}{8}\)nên \(A>B\)

Vậy \(A>B\)

mình ko hiểu

\(\frac{37-x}{3}=\frac{x-13}{7}\)

\(\Rightarrow\left(37-x\right).7=\left(x-13\right).3\)

\(\Rightarrow259-7x=3x-39\)

\(\Rightarrow-7x-3x=-39-259\)

\(\Rightarrow-10x=-298\)

\(\Rightarrow x=29,8\)

\(\frac{37-x}{3}=\frac{x-13}{7}\)

=> ( 37-x ).7 = 3 ( x-13 )

=>  37.7-7x  = 3x - 3.13

=>   259 - 7x = 3x - 39

=>  259 + 39 = 3x + 7x

= >298 = 10x

=> x=29.8

học tốt ~

\(A=\frac{10^{11}-1}{10^{12}-1}< \frac{10^{11}-1+11}{10^{12}-1+11}\)  theo công thức \(\frac{a}{b}< \frac{a+m}{b+m}\)

\(A< \frac{10^{11}+10}{10^{12}+10}=\frac{10^{10}\left(10+1\right)}{10^{11}\left(10+1\right)}=\frac{10^{10}}{10^{11}}\)

\(\Rightarrow\frac{10^{10}}{10^{11}}=\frac{10^{10}\cdot10^{12}}{10^{11}\cdot10^{12}}=\frac{10^{22}}{10^{23}}\)

\(\Leftrightarrow A< \frac{10^{10}}{10^{11}}=\frac{10^{11}}{10^{12}}\)

Lại áp dụng công thức \(\frac{a}{b}< \frac{a+m}{b+m}\)

\(A< \frac{10^{10}}{10^{11}}=\frac{10^{11}}{10^{12}}< \frac{10^{11}+1}{10^{12}+1}=B\)

\(\Leftrightarrow A< B\)

Hoặc \(A< \frac{10^{11}-1+2}{10^{12}-1+2}=\frac{10^{12}+1}{10^{12}+1}\)

..... (EZ)

Các câu khác bạn làm tương tự nhé ! Chúc bạn học tốt .

đê bài thês nào hả bn