Question

so sánh \(13^{14}\) và \(12^{13}+11^{13}+10^{13}+...+2^{13}+1^{13}\)

yêu cầu có lời giải

Answer 1

13^14 < hơn... dùm mình nha

Answer 2

ta có \(13^{13}>12^{13};13^{13}>11^{13};13^{13}>10^{13};...;13^{13}>2^{13};13^{13}>1^{13}\)

^{=>\(13^{13}\cdot12>12^{13}+11^{13}+10^{13}+...+2^{13}+1^{13}\)}

^{=>\(13^{13}\cdot13>12^{13}+11^{13}+10^{13}+...+2^{13}+1^{13}\)}

^{=>\(13^{14}>12^{13}+11^{13}+10^{13}+...+2^{13}+1^{13}\)}