\(5^{30}=\left(5^3\right)^{10}=125^{10}\)

Vì 125¹⁰>124¹⁰=>5³⁰>124¹⁰

a,

\(5^{30}\)và  \(124^{10}\)

\(5^{30}=\left(5^3\right)^{10}=125^{10}\)

Vì \(125^{10}>124^{10}\)nên \(5^{30}>124^{10}\)

b, \(31^{11}\)và  \(17^{14}\)

\(31^{11}< 32^{11}=\left(2^5\right)^{11}=2^{55}\)

\(17^{14}< 16^{14}=\left(2^4\right)^{14}=2 ^{56}\)

Vì \(2^{55}< 2^{56}\)nên \(31^{11}< 17^{14}\)

a) 3⁵⁰⁰ = (3⁵)¹⁰⁰ = 243¹⁰⁰

5³⁰⁰ = (5³)¹⁰⁰ =125¹⁰⁰

Vì 125¹⁰⁰ < 243¹⁰⁰ nên 5³⁰⁰ < 3⁵⁰⁰

b) 27¹⁴ = (3³)¹⁴ = 3⁴²

243¹⁰ = (3⁵)¹⁰ = 3⁵⁰

Vì 3⁴² < 3⁵⁰ nên 27¹⁴ < 243¹⁰

cũng z

a/ 50⁷>49⁷=(7²)⁷=7¹⁴ 

=> 50⁷>7¹⁴

b/ 124¹⁰ < 125¹⁰=(5³)¹⁰=5³⁰ 

=> 124¹⁰ < 5³⁰

c/ 9²¹=(3²)²¹=3⁴²

729⁷=(3⁶)⁷=3⁴²

=> 9²¹ = 729⁷

a) 7¹⁴ và 50⁷
7¹⁴ = ( 7²)⁷ = 49⁷
50⁷ giữ nguyên
Do 49⁷ < 50⁷ nên 7¹⁴ < 50⁷
b) 9²¹ và 729⁷
9²¹ giữ nguyên
729⁷ = (9³)⁷ = 9²¹
Do 9²¹ = 9²¹ nên 9²¹ = 729⁷
c) chịu
d) 5³⁰ và 124¹⁰
5³⁰ = (5³)¹⁰ = 125¹⁰
124¹⁰ giữ nguyên
Do 125¹⁰ > 124¹⁰ nên 5³⁰ > 124¹⁰
 

a, 7¹⁴=(7²)⁷=14⁷

50⁷=50⁷

Vì 14⁷ < 50⁷

=> 7¹⁴ < 50⁷

a, <

b, =

c, <

d, >

3¹¹ = 177147, 17¹⁴ = 1.68377826...

3^11 < 17^14

124^10 > 5^21

Hết ................

a)ta thấy 3<17;11<14 =>3¹¹<17¹⁴

Ta có \(11^{11}< 11^{14}\Rightarrow\)

\(3^{11}< 11^{11}< 11^{14}< 17^{14}\)

\(\Rightarrow3^{11}< 17^{14}\)

a) ta có: 7^10 < 7^14 = (7^2)^7 = 49^7 < 50^7

=> 7^10 < 50^7

b) ta có: 5^30 = (5^3)^10 = 125^10 > 124^10

=> 5^30 > 124^10

c) ta có: 9^21 = (9^3)^7=729^7

phần d thì mk ko bk, xl bn nha

a,<

b,>

c,=

^_^

a,Ta có:\(5^{28}=\left(5^2\right)^{14}=25^{14}< 26^{14}\)

b,Ta có:\(31^{11}< 32^{11}=\left(2^5\right)^{11}=2^{55}< 2^{56}=\left(2^4\right)^{14}=16^{14}< 17^{14}\)

c,Ta có:\(5^{30}=\left(5^3\right)^{10}=125^{10}>124^{10}\)

d,Ta có:\(4^{21}=\left(4^3\right)^7=64^7\)