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

Toán Lớp 8: So sánh: A=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1) với B=2^64 Giúp eim với ạ

Toán Lớp 8: So sánh: A=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1) với B=2^64
Giúp eim với ạ

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    A=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)(2^{32}+1)
    =>A=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)(2^{32}+1)
    =>A=(2^2 – 1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)(2^{32}+1)
    =>A=(2^4-1)(2^4+1) (2^8+1)(2^{16}+1)(2^{32}+1)
    =>A=(2^8 – 1)(2^8 +1)(2^{16}+1)(2^{32}+1)
    =>A=(2^{16}-1))(2^{16}+1)(2^{32}+1)
    => A = (2^{32}-1)(2^{32}+1)
    =>A=2^{64}-1<2^{64}
    =>A<B
    Vậy A<B
     

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

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