Question

so sánh

\(5^{300}và3^{453}\)

Answer 1

5³⁰⁰ = (5²)¹⁵⁰ = 25¹⁵⁰

3⁴⁵³ > 3⁴⁵⁰ = (3³)¹⁵⁰ = 27¹⁵⁰

Vì 25¹⁵⁰ < 27¹⁵⁰ < 3⁴⁵³

=> 5³⁰⁰ < 3⁴⁵³

Answer 2

\(5^{300}=\left(5^2\right)^{150}=25^{150}\)

\(3^{453}=\left(3^3\right)^{151}=27^{151}=27.27^{150}\)

Vì    \(25^{150}< 27.27^{150}\)nên  \(5^{300}< 3^{453}\)