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

Toán Lớp 6: TÍNH GIÁ TRỊ BIỂU THỨC: $\frac{4^5.9^4-10.6^9}{2^{10} .3^8+6^8.28}$

Toán Lớp 6: TÍNH GIÁ TRỊ BIỂU THỨC:
$\frac{4^5.9^4-10.6^9}{2^{10} .3^8+6^8.28}$

Comments ( 2 )

  1. Giải đáp:
    $-\dfrac{7}{4}.$
    Lời giải và giải thích chi tiết:
    $\dfrac{4^5.9^4-10.6^9}{2^{10} .3^8+6^8.28}\\ =\dfrac{(2^2)^5.(3^2)^4-2.5.(2.3)^9}{2^{10} .3^8+(2.3)^8.2^2.7}\\ =\dfrac{2^{2.5}.3^{2.4}-2.5.2^9.3^9}{2^{10} .3^8+2^8.3^8.2^2.7}\\ =\dfrac{2^{10}.3^{8}-2^{10}.5.3^9}{2^{10} .3^8+2^{10}.3^8.7}\\ =\dfrac{2^{10}.3^{8}(1-5.3)}{2^{10} .3^8(1+7)}\\ =\dfrac{-14}{8}\\ =-\dfrac{7}{4}.$

  2. Lời giải chi tiết:
    (4^(5).9^4-10.6^9)/(2^(10).3^8+6^(8).28)
    =((2^2)^(5).(3^2)^4-2.5.(2.3)^9)/(2^(10).3^8+(2.3)^(8).2^(2).7)
    =(2^(10).3^8-2.5.2^(9).3^9)/(2^(10).3^8+2^(8).3^(8).2^(2).7)
    =(2^(10).3^8-2^(10).3^(9).5)/(2^(10).3^8+2^(10).3^(8).7)
    =(2^(10).3^8.(1-3.5))/(2^(10).3^8.(1+7))
    =-14/8
    =-7/4

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