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

Toán Lớp 6: Việt gọn các tích bằng các lũy thừa – 10 .25.4 – 81.27 – 72 .16.81.3 – 4.32.16 3.37.81 30. 36.25 12.16.9 36.6 49.343

Toán Lớp 6: Việt gọn các tích bằng các lũy thừa
– 10 .25.4
– 81.27
– 72 .16.81.3
– 4.32.16
3.37.81
30. 36.25
12.16.9
36.6
49.343

Comments ( 2 )

  1. Giải thích các bước :
    – 10 . 25 . 4 = 10 . 100 = 1000 = 10^3
    – 81 . 27 = 3^4 . 3^3 = 3^7
    – 72 . 16 . 81 . 3 = 2^3 . 3^2 . 4^2 . 3^4 . 3 = 2^3 . 3^7 . 2^4 = 2^7 . 3^7 = 6^7
    – 4 . 32 . 16 = 2^2 . 2^5 . 2^4 = 2^11
    – 3 . 37 . 81 = 3 . 3^4 . 37 = 3^5 . 37
    – 30 . 36 . 25 = 5 . 6 . 6^2 . 5^2 = 6^3 . 5^3 = 30^3
    – 12 . 16 . 9 = 3 . 4 . 4^2 . 3^2 = 4^3 . 3^3 = 12^3
    – 36 . 6 = 6^2 . 6 = 6^3
    – 49 . 343 = 7^2 . 7^3 = 7^5

  2. Giải đáp:
    – 10.25.4 = 2.5.5^2 .2^2 = 5^3 . 2^3
    – 81 . 27 = 3^4 . 3^3 = 3^(4 + 3) = 3^7
    – 72.16.81.3 = 2^3 . 3^2 . 2^4 . 3^4 . 3
    = (2^3 . 2^4 ).(3^2 . 3^4 . 3)
    = 2^7 . 3^7
    – 4.32.16 = 2^2 . 2^5 . 2^4 = 2^(2 + 5 + 4) = 2^11
    – 3.37.81 = 3.37 . 3^4 = 37.(3 . 3^4) = 37.3^5
    – 30.36.25 = 6.5.6^2 . 5^2 = (6.6^2).(5.5^2) = 6^3 . 5^3
    – 12.16.9 = 3.4.4^2 .3^2 = (3.3^2).(4.4^2) = 3^3 .4^3
    – 36.6 = 6^2 . 6 = 6^(2 + 1) = 6^3
    – 49.343 = 7^2 . 7^3 = 7^(2 + 3) = 7^5

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