Question

So sánh : 25^50 và 9^75

Help me!!

Answer 1

25⁵⁰ = 25^25.2 = (25²)²⁵ = 625²⁵

9⁷⁵ = 9^3.25 = (9³)²⁵ = 27²⁵

Vì 625 > 27 => 625²⁵ > 27²⁵ => 25⁵⁰ > 9⁷⁵

Answer 2

Ta có: \(25^{50}=25^{25.2}=\left(25^2\right)^{25}=625^{25}\)

\(9^{75}=9^{25.3}=\left(9^3\right)^{25}=729^{25}\)

Vì 625 < 729 => \(625^{25}< 729^{25}\)