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

\(3^{453}=(3^3)^{151}=27^{151}\)

Mà \(25^{150}< 27^{151}\Rightarrow5^{300}< 3^{453}\)

5^300 = (5^2)^150 = 25^150

3^453 = (3^3)^150 = 27^151

=> 27^151 > 27^150 > 25^150.

5^300=1500

3^453=1359

vay 5^300>3^1359

Ta có:

\(5^{300}=\left(5^2\right)^{100}=25^{100}\)

\(3^{453}>3^{450}=3^{3.150}=\left(3^3\right)^{150}=27^{150}\) 

Vì 25 < 27 nên 5³⁰⁰ < 5⁴⁵³

mk học như vậy

\(3^{453}>3^{450}=\left(3^3\right)^{150}=27^{150}>25^{150}=5^{300}\)

Vậy \(3^{453}>5^{300}\)

Ta có: \(5^{300}=\left(5^{100}\right)^3\)

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

Vì \(5^{100}>3^{151}\)

=> \(5^{300}>3^{453}\)

5^300 on hon 36453

5³⁰⁰<3⁴⁵³

Chăm Học

uk đó

5³⁰⁰ = (5¹⁰⁰)³; 3⁴⁵³ = (3¹⁵¹)³

Ta có: 5¹⁰⁰ = (5²)⁵⁰ = 25⁵⁰; 3¹⁵¹ = 3.3¹⁵⁰ = 3. (3³)⁵⁰ = 3.27⁵⁰ > 25⁵⁰ 

=> 3¹⁵¹ > 5¹⁰⁰ => (3¹⁵¹)³ > (5¹⁰⁰)³ => 3⁴⁵³ > 5³⁰⁰

\(5^{300}=\left(5^2\right)^{150}=25^{150}\) 
\(3^{453}=\left(3^3\right)^{151}=27^{151}=27.27^{150}\) 
\(\text{Vì }25^{150}