Question

[nguyen tra giang]

So sanh:

2⁹⁹ va 17²⁵             5²⁹⁹ va 3⁵⁰¹

Answer 1

[nguyen ngoc lam]

2^99<2^100=(2^4)^25=16^25<17^25

5^299<5^300=(5^3)^100=125^100

3^501>3^500=(3^5)^100=243^100

=>125^100<243^100

=>5^299<3^501

Answer 2

[Nguyệt]

\(\)\(17^{25}>16^{25}=\left(2^4\right)^{25}=2^{100}\)

\(2^{99}< 2^{100}mà17^{25}>16^{25}=2^{100}\)

\(=>2^{99}< 17^{25}\)