Question

So sánh: \(2^{225}\) và \(3^{151}\)

Answer 1

Giải:

Ta có:

\(2^{225}=2^{3.75}=\left(2^3\right)^{75}=8^{75}\)

\(3^{150}=3^{2.75}=\left(3^2\right)^{75}=9^{75}\)

Và \(8^{75}< 9^{75}\) nên \(2^{225}< 3^{151}\).

Answer 2

Ta có :

\(2^{225}=\left(2^3\right)^{75}=8^{75}\)

\(3^{150}=\left(3^2\right)^{75}=9^{75}\)

Vì \(8^{75}< 9^{75}\Rightarrow2^{225}< 3^{150}\)

Answer 3

Ta có : \(2^{225}=\left(2^3\right)^{75}=8^{75}\)

\(3^{151}=\left(3^2\right)^{75}=9^{75}\)

Vì \(8< 9\) => \(8^{75}< 9^{75}\)

Vậy \(2^{225}< 3^{151}\)

Tick cho mk nha!