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

Toán Lớp 7: Thực hiện phép tính: $\frac{(-3)^{6}.15^{5}+9^{3}.(-15)^{6}}{(-3)^{10}.5^{5}.2^{3}}$

Toán Lớp 7: Thực hiện phép tính:
$\frac{(-3)^{6}.15^{5}+9^{3}.(-15)^{6}}{(-3)^{10}.5^{5}.2^{3}}$

Comments ( 2 )

  1. $\\$
    ( (-3)^6 . 15^5 + 9^3 . (-15)^6)/( (-3)^{10} . 5^5 . 2^3)
    = (3^6 . (3.5)^5 + (3^2)^3 . 15^6)/(3^{10} . 5^5 . 2^3)
    = (3^6 . 3^5 . 5^5 + 3^6 . (3.5)^6)/(3^{10} . 5^5 . 2^3)
    = (3^6 . 3^5 . 5^5 + 3^6 . 3^6 . 5^6)/(3^{10} . 5^5 . 2^3)
    = (3^{11} . 5^5 + 3^{12} . 5^6)/(3^{10} . 5^5 . 2^3)
    = (3^{10} . 5^5 . (3 + 3^2 . 5) )/(3^{10} . 5^5 . 2^3)
    = (3 + 45)/2^3
    =6

  2. ~ Bạn tham khảo ~
    {(-3)^{6}*15^{5}+9^{3}*(-15)^{6}}/{(-3)^{10}*5^{5}*2^{3}}
    ={3^{6}*3^{5}*5^5+3^6*3^{6}*5^6}/{3^{10}*5^{5}*2^{3}}
    ={3^{11}*5^5+3^12*5^6}/{3^{10}*5^{5}*2^{3}}
    ={3^{11}*5^5*(1+3*5)}/{3^{10}*5^{5}*2^{3}}
    ={3*16}/{8}
    = [3*2]/1
    =6

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