Question

2³⁰⁰ và 3²⁰⁰

Answer 1

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

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

mà 8<9

nên \(2^{300}< 3^{200}\)

Answer 2

Ta có: \(2^{300}=\left(2^3\right)^{100}=8^{100}\)
\(3^{200}=\left(3^2\right)^{100}=9^{100}\)
Vì \(8< 9\) nên \(8^{100}< 9^{100}\)
hay \(2^{300}< 3^{200}\)