Question

So sánh : 5⁴⁰⁰ và 4⁵⁰⁰

Answer 1

\(5^{400}=\left(5^4\right)^{100}=625^{100}\)

\(4^{500}=\left(4^5\right)^{100}=1024^{100}\)

\(625< 1024\Rightarrow625^{100}< 1024^{100}\Rightarrow5^{400}< 4^{500}\)

Answer 2

Ta có:

5⁴⁰⁰=(5⁴)¹⁰⁰=625¹⁰⁰

4⁵⁰⁰=(4⁵)¹⁰⁰=1024¹⁰⁰

Vì 1024>625=>1024¹⁰⁰>625¹⁰⁰

=>4⁵⁰⁰>5⁴⁰⁰

Answer 3

Ta có:

+) 5⁴⁰⁰=(5⁴)¹⁰⁰=625¹⁰⁰

+) 4⁵⁰⁰=(4⁵)¹⁰⁰=1024¹⁰⁰

Vậy 1024¹⁰⁰>625¹⁰⁰

=> 4⁵⁰⁰>5⁴⁰⁰

Answer 4

5⁴⁰⁰ =(5⁴)¹⁰⁰=625¹⁰⁰

4⁵⁰⁰=(4⁵)¹⁰⁰=1024¹⁰⁰

Vì 625¹⁰⁰ < 1024¹⁰⁰ 

=> 5⁴⁰⁰ < 4⁵⁰⁰