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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: So sanhs : `333^{444}` và `444^{333}`

Toán Lớp 7: So sanhs : 333^{444} và 444^{333}

Comments ( 2 )

  1. 333^(444)=111^(444) . 3^(444)=111^(444) . (3^4)^(111)=111^(444) . 81^(111)
    444^(333)=111^(333). 4^(333)= 111^(333) . (4^3)^(111)=111^(333) . 64^(111)
    Có 81^(111) > 64^(111)
    ⇒ 111^(444) . 3^(444) > 111^(444) . 4^(333)
    ⇒333^(444) > 444^(333)

  2. Ta có:
    333^444
    =(333^4)^111
    =36926037^111
    444^333
    =(444^3)^111
    =87528384^111
    Vì 36926037^111<87528384^111 nên 444^333>333^444

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222-9+11+12:2*14+14 = ? ( )