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

Toán Lớp 7: 3^18.24^4/18^4.9^5 28^6.7^6/2^7.98^7

Toán Lớp 7: 3^18.24^4/18^4.9^5
28^6.7^6/2^7.98^7

Comments ( 2 )

  1. Lời giải chi tiết:
    a) (3^(18).24^4)/(18^(4).9^5)
    =(3^(18).(2^(3).3)^4)/((2.3^2)^(4).(3^2)^5)
    =(3^(18).2^(12).3^4)/(2^(4).3^(8).3^10)
    =(3^(22).2^12)/(2^(4).3^18)
    =3^(4).2^8
    =81.256
    =20736
    b) (28^(6).7^6)/(2^(7).98^7)
    =((2^(2).7)^(6).7^6)/(2^(7).(2.7^2)^7)
    =(2^(12).7^(6).7^6)/(2^(7).2^(7).7^14)
    =(2^(12).7^12)/(2^(14).7^14)
    =1/(2^(2).7^2)
    =1/196

  2. Lời giải và giải thích chi tiết:
    a)
    (3^18 . 24^4)/(18^4 . 9^5)
    =(3^18 . (2^3 . 3)^4)/((2.3^2)^4 . (3^2)^5)
    =(3^18 . (2^3)^4 . 3^4)/(2^4 . (3^2)^4 . (3^2)^5)
    =(3^18 . 2^12 . 3^4)/(2^4 . 3^8 . 3^10)
    =(3^22 . 2^12)/(2^4 . 3^18)
    =(3^4 . 2^8)/(1.1)
    =3^4 . 2^(2.4)
    =3^4 . (2^2)^4
    =3^4 . 4^4
    =(3.4)^4
    =12^4
    b)
    (28^6 . 7^6)/(2^7 . 98^7)
    =((28.7)^6)/((2.98)^7)
    =(196^6)/(196^7)
    =1/196

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