Question

So sánh :

A=333⁴⁴⁴ và B =444³³³

Answer 1

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

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

        Ta lại có:\(333^4=\left(3.111\right)^4=81.111^4\left(1\right)\)

                        \(444^3=\left(4.111\right)^3=64.111^3\left(2\right)\)

        Từ (1) và (2)=>\(333^4>444^3hay333^{444}>444^{333}\)

Answer 2

333^444 > 444^333

=> A>B

Answer 3

A = (3.111)^4.111 = (111⁴)¹¹¹ = 81¹¹¹ . (111⁴⁴⁴)

B = (4.111)^3.111 = (4³)¹¹¹ . (111³)¹¹¹ = 64¹¹¹ . 111³³³

81¹¹¹ > 64¹¹¹ ; 111⁴⁴⁴ > 111³³³ 

=> A > B

Answer 4

333^444=333^4x111=(333^4)^111

444^333=444^3x111=(444^3)^111

333^4=(3x111)^4=3^4x111^4=3^4x111^3x111

444^3=(4x111)^3=4^3x111^3

3^4x111^3x111>4^3x111^3

=>333^4>444^3

=>(333^4)^111>(444^3)^111

   333^444>444^333