Question

So Sánh : \(3^{600}\)và \(4^{400}\)
giúp mik vs các bạn

Answer 1

\(3^{600};4^{400}\)

\(3^{600}=\left(3^3\right)^{200}\)

\(4^{400}=\left(4^2\right)^{200}\)

Vì : \(27^{200}>16^{200}\)

\(\Rightarrow3^{600}>4^{400}\)

Answer 2

Ta có:

\(3^{600}=3^{3\times200}=\left(3^3\right)^{200}=27^{200}\)

\(4^{400}=4^{2\times200}=\left(4^2\right)^{200}=16^{200}\)

Vì 27 > 16 \(\Rightarrow27^{200}>16^{200}\Leftrightarrow3^{600}>4^{400}\)

Answer 3

Ta có:3^600=(3^3)^200=27^200

          4^400=(2^2)^200=4^200

vì 27>4 nên 27^200>4^200

Vậy 3^600>4^200

Answer 4

3^600>4^400

Answer 5

3⁶⁰⁰=(3³)²⁰⁰=27²⁰⁰

4⁴⁰⁰=(4²)²⁰⁰=16²⁰⁰

Vì 27²⁰⁰ lớn hơn 16²⁰⁰ nên 3⁶⁰⁰ lớn hơn 4⁴⁰⁰

Answer 6

3mu600>4mu400