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

Toán Lớp 7: Tính nhanh ( nếu có thể ) a) 2^3+3.(-1/2)^0.(1/2)^2.4+((-2):1/2) b) (2^2.2^3/4^4.16)^15:(2^6/16^2)^10

Toán Lớp 7: Tính nhanh ( nếu có thể ) a) 2^3+3.(-1/2)^0.(1/2)^2.4+((-2):1/2) b) (2^2.2^3/4^4.16)^15:(2^6/16^2)^10

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    $a) 2^3+3.(-\dfrac{1}{2})^0.(\dfrac{1}{2})^2.4+[(-2):\dfrac{1}{2}]$
    $=8+3.1.\dfrac{1}{4}.4+[(-2).2]$
    $=8+3.1+(-4)$
    $=8+3+(-4)$
    $=7$
    $b) (2^2.\dfrac{2^3}{4^4}.16)^{15}:(\dfrac{2^6}{16^2})^{10}$
    $=(2^2.\dfrac{2^3}{(2^2)^4}.2^4)^{15}:(\dfrac{2^6}{(2^4)^2})^{10}$
    $=(\dfrac{2^2.2^3.2^4}{2^8})^{15}:(\dfrac{2^6}{2^8})^{10}$
    $=(\dfrac{2^9}{2^8})^{15}:(\dfrac{1}{2})^{10}$
    $=2^{15}:\dfrac{1}{2^{10}}$
    $=2^{15}.2^{10}$
    $=2^{25}$

  2. Giải đáp:
    a) 7
    b) 1/2^85
    Lời giải và giải thích chi tiết:
    a) 2^3+3*((-1)/2)^0*(1/2)^2*4+(-2):1/2
    =8+3*1*1/4*4+(-2)*2
    =8+3-4
    =11-4
    =7
    b) ((2^2*2^3)/(4^4*16))^15:(2^6/16^2)^10
    =((2^(2+3))/(2^8*2^4))^15:(2^6/(2^4)^2)^10
    =(2^5/2^12)^15:(2^6/2^8)^10
    =(1/2^7)^15:(1/2^2)^10
    =1/2^(7*15)*2^(2*10)
    =2^20/2^105
    =1/2^85

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