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

Toán Lớp 6: chứng tỏ 4 mũ 39+4 mũ 40+4 mũ 41 có chia hết cho 28

Toán Lớp 6: chứng tỏ 4 mũ 39+4 mũ 40+4 mũ 41 có chia hết cho 28

Comments ( 2 )

  1. Ta có:
    4^39+4^40+4^41
    =4^38. (4+4^2+4^3)
    =4^38. (4+16+64)
    =4^38. 84
    Vì 84 vdots 28
    => 4^38. 84 vdots 28
    => 4^39+4^40+4^41 vdots 28
    Vậy 4^39+4^40+4^41 vdots 28

  2. 4^39 + 4^40 + 4^41
    = 4^38 . (4 + 4^2 + 4^3)
    = 4^38 . 84
    Do84 \vdots 28 nên => 4^38 . 84 \vdots 28
    Vậy 4^39 + 4^40 + 4^41 \vdots 28
     

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