Question

So sámh 2^100 ; 3^75 ; 5^50

Answer 1

2¹⁰⁰ = (2⁴)²⁵ = 16²⁵

3⁷⁵ = (3³)²⁵ = 27²⁵

5⁵⁰ = (5²)²⁵ = 25²⁵

Vì 16²⁵ < 25²⁵ < 27²⁵ nên 2¹⁰⁰ < 5⁵⁰ < 3⁷⁵

Answer 2

\(2^{100}< 5^{50}< 3^{75}\)

Answer 3

2^100 = (2^4)^25 =16^25

3^75   = (3^3)^25 =27^25

5^50   = (5^2)^25 = 25^25

SO SÁNH

16^25 < 25^25 < 27^25

=>  2^100 < 5^50 < 3^75