Question

5³⁰⁰ và 3⁵⁰⁰

^{so sánh}

 

Answer 1

5³⁰⁰ > 3⁵⁰⁰

Answer 2

>>>>>>

Answer 3

<

Answer 4

>

Answer 5

5³⁰⁰ > 3⁵⁰⁰

Answer 6

Ta có:

\(5^{300}=5^{3^{100}}\)\(=125^{100}\)(1)

\(3^{500}=3^{5^{100}}=243^{100}\)(2)

Ta thấy (1) < (2)

 

Answer 7

+ 5³⁰⁰ = (5³)¹⁰⁰ = 125¹⁰⁰

+ 3⁵⁰⁰ = (3⁵)¹⁰⁰ = 243¹⁰⁰

125¹⁰⁰ < 243¹⁰⁰

=> 5³⁰⁰ < 3⁵⁰⁰

Answer 8

\(5^{300}=\left(5^3\right)^{100}=125^{100}\)

\(3^{500}=\left(3^5\right)^{100}=243^{100}\)

mà 125<243

nên \(5^{300}< 3^{500}\)