xét A và B,ta thấy:

20/39>14/39

22/27>22/29

18/43<18/41

Ta có: 20/39+22/27>14/39+22/29

2012^2013+2013^2013<2013^2013+2013^2014

xet A va B ta thay:

20/39>14/39

22/27>22/29

18/43<18/41

vay A>B

Ta có: 2²⁷ = (2³)⁹ = 8⁹

3¹⁸ = (3²)⁹ = 9⁹

Vì 8⁹ < 9⁹ nên 2²⁷ < 3¹⁸

2^27=(2^3)^9=8^9

3^18=(3^2)^9=9^9

Ta thấy: 8^9>9^9

Nên: 2^27>3^18

2²⁷=(2³)⁹=8⁹

3¹⁸=(3²)⁹=9⁹

vì 9>8=>9⁹>8⁹

\(\frac{1}{15}+\frac{1}{16}+\frac{1}{17}+...+\frac{1}{30}>\frac{1}{30}+\frac{1}{30}+...+\frac{1}{30}=\frac{16}{30}>\frac{15}{30}=\frac{1}{2}\)

nhanh đi

\(3^{27}=3^{24}.3^3=3^{24}.27>3^{24}.12\)

HAY  \(3^{27}>12.3^{24}\)

12.3²⁴=4.3.3²⁴=4.3²⁵

3²⁷=3².3²⁵=9.3²⁵

Vì 4<9

=>4.3²⁵<9.3²⁵

=>12.3²⁴<3²⁷

Chúc bạn học giỏi nha!!!

K cho mik vs nhé àgjgtrrexjkg

\(\left(-32\right)^{27}=\left[\left(-2\right)^5\right]^{27}=\left(-2\right)^{135}\)

\(\left(-18\right)^{39}< \left(-16\right)^{39}=\left[\left(-2\right)^4\right]^{39}=\left(-2\right)^{156}\)

Mà \(\left(-2\right)^{156}< \left(-2\right)^{135}\)

\(\Rightarrow\left(-18\right)^{39}< \left(-32\right)^{27}\)