Câu hỏi của Nguyen Phuong Thao

Question

hãy so sánh :

333⁴⁴⁴và 444³³³

Thái Viết Nam · Accepted Answer

$333^{444}=\left(333\times4\right)^{111}=1332^{111}$

$444^{333}=\left(444\times3\right)^{111}=1332^{111}$

$1332^{111}=1332^{111}\Rightarrow333^{444}=444^{333}$

Câu trả lời:

$333^{444}=\left(333\times4\right)^{111}=1332^{111}$

$444^{333}=\left(444\times3\right)^{111}=1332^{111}$

$1332^{111}=1332^{111}\Rightarrow333^{444}=444^{333}$

Sherlockichi Kazukosho · Answer

$333^{444}=\left(333^4\right)^{111}$

$444^{333}=\left(444^3\right)^{111}$

$\Rightarrow333^4=111^4.3^4=111^3.111.3^4$

$444^3=111^3.4^3$

$\Rightarrow111.3^4=111.81>4^3=64$

$\Rightarrow333^{444}>444^{333}$

Câu trả lời:

$333^{444}=\left(333^4\right)^{111}$

$444^{333}=\left(444^3\right)^{111}$

$\Rightarrow333^4=111^4.3^4=111^3.111.3^4$

$444^3=111^3.4^3$

$\Rightarrow111.3^4=111.81>4^3=64$

$\Rightarrow333^{444}>444^{333}$

Thanh Tùng DZ · Answer

ta có :

$333^{444}=333^{4.111}=\left(333^4\right)^{111}$

$444^{333}=444^{3.111}=\left(444^3\right)^{111}$

vì hai lũy thừa trên cùng số mũ nên ta so sánh $333^4$và $444^3$

$333^4=\left(111.3\right)^4=111^4.3^4=111^4.81$

$444^3=\left(111.4\right)^3=111^3.64$

Vì $111^4.81>111^3.64$nên $333^{444}>444^{333}$

Câu trả lời:

ta có :

$333^{444}=333^{4.111}=\left(333^4\right)^{111}$

$444^{333}=444^{3.111}=\left(444^3\right)^{111}$

vì hai lũy thừa trên cùng số mũ nên ta so sánh $333^4$và $444^3$

$333^4=\left(111.3\right)^4=111^4.3^4=111^4.81$

$444^3=\left(111.4\right)^3=111^3.64$

Vì $111^4.81>111^3.64$nên $333^{444}>444^{333}$