Câu hỏi của Ngô Khánh Linh

Question

so sánh 444^555 và 555^444

Nguyễn Huy Tú · Accepted Answer

Ta có:

$444^{555}=\left(111.4\right)^{555}=111^{555}.4^{555}=111^{555}.\left(4^5\right)^{111}=111^{555}.1024^{111}$

$555^{444}=\left(111.5\right)^{444}=111^{444}.5^{444}=111^{444}.\left(5^4\right)^{111}=111^{444}.625^{111}$

Vì $111^{555}.1024^{111}>111^{444}.625^{111}$ nên $444^{555}>555^{444}$

Vậy $444^{555}>555^{444}$Câu trả lời: Ta có:

$444^{555}=\left(111.4\right)^{555}=111^{555}.4^{555}=111^{555}.\left(4^5\right)^{111}=111^{555}.1024^{111}$

$555^{444}=\left(111.5\right)^{444}=111^{444}.5^{444}=111^{444}.\left(5^4\right)^{111}=111^{444}.625^{111}$

Vì $111^{555}.1024^{111}>111^{444}.625^{111}$ nên $444^{555}>555^{444}$

Vậy $444^{555}>555^{444}$

Ngô Khánh Linh · Answer

cảm ơn bạn nhéCâu trả lời: cảm ơn bạn nhé