Question

so sánh 3⁵⁴ và 2⁸¹

Answer 1

Ta có :3⁵⁴ = 3^2.27 = (3²)²⁷ = 9²⁷

          2⁸¹  = 2^3.27 = (2³)²⁷ = 8²⁷

Vì 9 > 8 => 9²⁷ > 8²⁷ => 3⁵⁴ > 2⁸¹

Vậy 3⁵⁴ > 2⁸¹

Answer 2

Ta có: \(3^{54}\)= \(\left(3^6\right)^9\)= \(729^9\)

\(2^{81}\)= \(\left(2^9\right)^9\)= \(512^9\)

Vì \(729^9\)> \(512^9\)=> \(3^{54}\)> \(2^{81}\)