Question

3²⁰⁰và2³⁰⁰

Answer 1

\(3^{200}=\left(3^2\right)^{100}=9^{100}>8^{100}=\left(2^3\right)^{100}=2^{300}\)

Answer 2

`#3107.101107`

So sánh \(3^{200}\) và \(2^{300}\) là yêu cầu đề bạn nhỉ?

Ta có:

\(3^{200}=3^{2\cdot100}=\left(3^2\right)^{100}=9^{100}\)

\(2^{300}=2^{3\cdot100}=\left(2^3\right)^{100}=8^{100}\)

Vì `9 > 8` \(\Rightarrow\) \(9^{100}>8^{100}\) \(\Rightarrow3^{200}>2^{300}\)

Vậy, \(3^{200}>2^{300}.\)