a,3²⁰ và 27⁴

3²⁰=(3⁵)⁴=243⁴>27⁴

Vậy 3²⁰>27⁴

b,5³⁴ và 25x5³⁰

25x5³⁰=5²x5³⁰=5³²<5³⁴

=>5³⁴>25x5³⁰.

c,2²⁴và 26⁶

2²⁴=(2⁴)⁶=16⁶<26⁶

=>2²⁴<26⁶

d,10³⁰và 4⁵⁰

10³⁰=(10³)¹⁰=1000¹⁰

4⁵⁰=(4⁵)¹⁰=1024¹⁰

Vì 1000¹⁰<1024¹⁰nên 10³⁰<4⁵⁰.

e,2³⁰⁰và 3²⁰⁰

2³⁰⁰=(2³)¹⁰⁰=8¹⁰⁰

3²⁰⁰=(3²)¹⁰⁰=9¹⁰⁰

Vì 8¹⁰⁰<9¹⁰⁰ nên 2³⁰⁰<3²⁰⁰

a, 8^5=8192;3.4^7=3.16384=49152

=>8^5<3.4^7

b,cái nè dài quá nên chị viết ngắn gọn thôi ha!^.^

31^11>17^14

c,5^333<3^555

a: =-5/9-4/9+8/15+7/15-2/11=-2/11

b: =10/17+7/17-5/13-8/13+11/25

=11/25

c: =(9/12-2/12)*3/2=7/12*3/2=21/24=7/8

d: =(31/10-25/10)*3-2

=3/5*3-2

=9/5-2

=-1/5

6/20:3=6/20x1/3=6/60=1/10

11h-8h30p=2h30p=2.5h

10 7/10-4 3/10

=107/10-43/10

=64/10=32/5

chúc bn học tốt!

a)3^200=3^2.100=9^100

2^300=2^3.100=8^100

Suy ra 3^200>2^300

b)125^5=(5^3)^5=5^15

25^7=(5^2)7=5^14

Suy ra 125^5>25^7

c)9^20=(3^2)^20=3^40

27^13=(3^3)13=3^39

Suy ra 9^20>27^13

d)3^54=3^6.9=(3^6)^27=729^9

2^81=2^9.9=512^9

Suy ra 3^54>2^81

e)10^30=10^3.10=1000^10

2^100=2^10.10=1024^10

Suy ra 10^30<2^100

f)5^40=5^4.10=625^10

Suy ra 5^40>620^10

mik chịu thôi

a, \(\sqrt{15}+\sqrt{8}< \sqrt{16}+\sqrt{9}=4+3=7\)

\(\Rightarrow\sqrt{15}+\sqrt{8}< 7\)

b, \(\sqrt{10}+\sqrt{17}+1>\sqrt{9}+\sqrt{16}+1=3+4+1=8\)

\(\sqrt{61}< \sqrt{64}=8\)

\(\Rightarrow\sqrt{10}+\sqrt{17}+1>\sqrt{61}\)

c, \(\sqrt{10}+\sqrt{5}+1>\sqrt{9}+\sqrt{4}+1=3+2+1=6\)

\(\sqrt{35}< \sqrt{36}=6\)

\(\Rightarrow\sqrt{10}+\sqrt{5}+1>\sqrt{35}\)

1. ​​a, \(\frac{6}{7}\)=\(\frac{60}{70}\);\(\frac{11}{10}\)=\(\frac{77}{70}\)

vì \(\frac{60}{70}\)<\(\frac{77}{70}\)nên \(\frac{6}{7}\)<\(\frac{11}{10}\)

b, \(\frac{-5}{17}\)<0<\(\frac{2}{7}\)

c, \(\frac{419}{-723}\)<0<\(\frac{-697}{-313}\)

2.

Ta có :\(\frac{2}{6}\)=\(\frac{20}{60}\);\(\frac{5}{12}\)=\(\frac{25}{60}\);\(\frac{4}{15}\)=\(\frac{16}{60}\);\(\frac{8}{20}\)=\(\frac{24}{60}\);\(\frac{10}{30}\)=\(\frac{20}{60}\)

Vì \(\frac{16}{60}\)<\(\frac{20}{60}\)<\(\frac{24}{60}\)<\(\frac{25}{60}\)nên \(\frac{4}{15}\)<\(\frac{2}{6}\)=\(\frac{10}{30}\)<\(\frac{8}{20}\)<\(\frac{5}{12}\)