Câu 1: 3^23  >    5^12

Câu 2: 3^36 < 2^8.11^4

2. Hot……hotter………………the hottest……
……the fewest.
less……………the least…

6. Comfortable…more comfortable……the most comfortable…………
7. Important……more important…………the most important…..
8. Expensive……more expensive………the most expensive
9. Good……better…………the best…….
10. Far……farther………the farthest……………………………….
11. Bad……worse……the worst…………………………………....
12. Thin……thinner……the thinnest………………………………………...
13. Busy…busier…………the busiest………………………………….
14. Interesting …more interesting…………the most interesting……………..
15. Short……shorter…………the shortest……………………….
16. High……higher…………the highest………………….
17. Much……more………the most………………………………
18. Funny……funnier……the funniest………………………………..
19. Fast……faster…………the fastest……………………….
20. Boring ……more boring………the most boring…………

có 

`(-2)/3=(-2xx4)/(3xx4)=(-8)/12`

`3/(-4)=(-3)/4=(-3xx3)/(4xx3)=(-9)/12`

vì `-8> -9`

`=>(-2)/3>3/(-4)`

Ta có:
\(-\dfrac{2}{3}=-\dfrac{8}{12}\)
\(-\dfrac{3}{4}=-\dfrac{9}{12}\)
Mà \(-\dfrac{8}{12}>-\dfrac{9}{12}\)
\(\Rightarrow-\dfrac{2}{3}>-\dfrac{3}{4}\)

Ta có : \(\dfrac{2}{3}=1-\dfrac{1}{3}\)

Mặt khác, \(\dfrac{3}{4}=1-\dfrac{1}{4}\)

Mà \(\dfrac{1}{4}< \dfrac{1}{3}\) \(\Rightarrow\)\(1-\dfrac{1}{4}>1-\dfrac{1}{3}\) Hay \(\dfrac{3}{4}>\dfrac{2}{3}\) \(\Rightarrow\) \(\dfrac{-2}{3}>\dfrac{3}{-4}\)

Vậy \(\dfrac{-2}{3}>\dfrac{3}{-4}\)

Nhớ trình Bày cách Làm nha

a) \(\dfrac{3}{4}=0.75\)

b) \(-2\dfrac{1}{2}=\dfrac{-5}{2}< \dfrac{-5}{3}\)

1) \(5^{199}< 5^{200}=25^{100}\)

\(3^{300}=27^{100}>25^{100}\)

\(\Rightarrow3^{300}>5^{199}\)

\(\Rightarrow\dfrac{1}{3^{300}}< \dfrac{1}{5^{199}}\)

2)  a) \(107^{50}=\left(107^2\right)^{25}=11449^{25}\)

\(73^{75}=\left(73^3\right)^{25}=389017^{25}>11449^{25}\)

\(\Rightarrow107^{50}< 73^{75}\)

b) \(54^4< 5^{12}< 21^{12}\Rightarrow54^4< 21^{12}\)

Giúp mình với

chắc là >

<

\(\dfrac{2}{4}< \dfrac{3}{4}\)

2/4 < 3/4

a) Ta có: 2 = √4 > √3 nên 2.2 > 2√3

Vậy √4 > 2√3

b) Ta có: √5 > √4 = 2 nên √5 > 2

Vậy -√5 < -2