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Ta có:
\(15^{31}< 16^{31}=\left(2^4\right)^{31}=2^{124}< 2^{145}=\left(2^5\right)^{29}=32^{29}< 33^{29}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta thấy: \(\frac{-1}{5}< 0\), \(\frac{1}{1000}>0\)
\(\Rightarrow\frac{-1}{5}< \frac{1}{1000}\)
b) Ta có: \(\frac{267}{-268}=\frac{-267}{268}>-1\)
\(\frac{-1347}{1343}< -1\)
\(\Rightarrow\frac{-1347}{1343}< \frac{-267}{268}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu 1 :
\(\dfrac{-25}{37}\&\dfrac{-20}{31}\)
Ta thấy \(\dfrac{-25}{37}< \dfrac{-20}{37}\)
mà \(\dfrac{-20}{37}< \dfrac{-20}{31}\)
\(\Rightarrow\dfrac{-25}{37}< \dfrac{-20}{31}\)
Câu 2 :
\(\dfrac{2}{3}\&\dfrac{5}{7}\)
\(\dfrac{2}{3}:\dfrac{5}{7}=\dfrac{2}{3}.\dfrac{7}{5}=\dfrac{14}{15}< 1\)
\(\Rightarrow\dfrac{5}{7}>\dfrac{2}{3}\) Câu 3 : \(\dfrac{8}{13}\&\dfrac{5}{7}\)Ta thấy \(\dfrac{8}{13}:\dfrac{5}{7}=\dfrac{8}{13}.\dfrac{7}{5}=\dfrac{56}{65}< 1\)
\(\Rightarrow\dfrac{8}{13}< \dfrac{5}{7}\)![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
31 ^ 5 = 217^35
17 ^ 7 = 85 ^ 35
Vì 217> 85 nên 217 ^ 35 > 85 ^ 35
Hay 31 ^ 5 > 17^7
Tk mk nha
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(33^{29}>30^{29}=\left(2.15\right)^{29}=2^{29}.15^{29}\)
\(15^{31}=15^2.15^{29}\)
Ta có: \(2^{29}>15^2\)
\(\Rightarrow2^{29}.15^{29}>15^2.15^{29}\)
\(30^{29}>15^{31}\)
\(\Rightarrow33^{29}>15^{31}\)
Vậy \(33^{29}>15^{31}\)
Tham khảo nhé~