Question

so sánh :   3³⁴ và 5²⁰

Answer 1

\(3^{34}=3.\left(3^3\right)^{11}=3.27^{11}\)

\(5^{20}=\left(5^2\right)^{10}=25^{10}\)

\(3.27^{11}=3.27.27^{10}>25^{10}\)

\(\Rightarrow3^{34}>5^{20}\)

Answer 2

3³⁴ và 5²⁰

3³⁴=3^17.2=129140163²

5²⁰=5^10.2=9765625²

Vì:129140163²>9765625²

Nên: 3³⁴>5²⁰.