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

Toán Lớp 7: cmr : B = $2^{100}$ +$2^{101}$$2^{102}$ chia hết cho 7

Toán Lớp 7: cmr : B = $2^{100}$ +$2^{101}$$2^{102}$ chia hết cho 7

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    B=2^100+2^101+2^102
    =>B=2^100 .1+2^100 .2+2^100 .2^2
    =>B=2^100 .(1+2+2^2)
    =>B=2^100 .(3+4)
    =>B=2^100 .7
    Vì 7\vdots7
    =>2^100 .7\vdots7
    Vậy B\vdots7
     

  2. $\\$
    B=2^{100}+2^{101}+2^{102}
    ->B=2^{100} . (1+2+2^2)
    ->B=2^{100} . (1+2+4)
    ->B=2^{100} . 7 
    Vì 7 chia hết cho 7
    ->2^{100}.7 chia hết cho 7
    ->B chia hết cho 7 (đpcm)

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

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