Question

[Nguyen tan trong]

so sanh 3¹⁰⁰ va 5 ⁵⁰

Answer 1

[ST]

Ta có: 3¹⁰⁰=(3²)⁵⁰=9⁵⁰

Vì 9⁵⁰>5⁵⁰ nên 3¹⁰⁰>5⁵⁰

Answer 2

[Phương Trình Hai Ẩn]

Ta có :

\(\left(+\right)3^{100}=3^{\left(10.10\right)}=\left(3^{10}\right)^{10}=59049^{10}\)

\(\left(+\right)5^{50}=5^{\left(5.10\right)}=3125^{10}\)

Mà : 3125<59049 

=> \(59049^{10}>3125^{10}\)

\(\Rightarrow3^{100}>5^{50}\)