Question

so sánh 2mũ300 và 3mũ200

 

Answer 1

2³⁰⁰ < 3²⁰⁰

Answer 2

Ta có:

\(2^{300}=2^{3.100}=\left(2^3\right)^{100}=8^{100}\)

\(3^{200}=3^{2.100}=\left(3^2\right)^{100}=9^{100}\)

Vì \(8^{100}< 9^{100}\)

Nên \(2^{300}< 3^{200}\)

Answer 3

Ta có: \(2^{300}\)=\(2^{3.100}\)=(2\(^3\))\(^{100}\)=8\(^{100}\)

3\(^{200}\)=3\(^{2.100}\)=(3\(^2\))\(^{100}\)=9\(^{100}\)

Mà 8<9

⇒\(2^{300}\)<3\(^{200}\)