Question

[Nguyễn Minh Hùng]

so sánh 99¹⁰⁰:11 và 98⁹⁹ + 97⁹⁹ + 96⁹⁹ + 95⁹⁹ + 94⁹⁹ + 93⁹⁹ + 92⁹⁹ + 91⁹⁹

Answer 1

[Bùi Thị Vân]

\(99^{100}:11=99.99^{99}:11=9^{99}.\left(99:11\right)=9.9^{99}\).
Vì vậy:
 \(99^{100}:11=9.99^{99}=99^{99}+99^{99}+99^{99}+99^{99}+99^{99}+99^{99}+99^{99}+99^{99}+99^{99}\)\(>98^{99}+97^{99}+96^{99}+95^{99}+94^{99}+93^{99}+92^{99}+91^{11}\).
 

Answer 2

[Nguyễn Minh Hùng]

thank you