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

Toán Lớp 6: rút gọn mỗi biểu thức sau B= 2^100 – 2^99 + 2^98 – 2^97+-.. – 2^3 + 2^2 – 2 +1

Toán Lớp 6: rút gọn mỗi biểu thức sau B= 2^100 – 2^99 + 2^98 – 2^97+…… – 2^3 + 2^2 – 2 +1

Comments ( 2 )

  1. B=2^100-2^99+2^98-2^97+…+2^3+2^2-2
    2B=2^101-2^100+2^99-2^98+…+2^4+2^3-2^2
    2B+B=(2^101-2^100+2^99-2^98+…+2^4+2^3-2^2)+(2^100-2^99+2^98-2^97+…+2^3+2^2-2)
    3B=2^101-2
    B=(2^101-2)/3

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    B = 2^100 – 2^99 +…..+ 2^2 – 2
    => 2B = 2^101 – 2^100 +………+ 2^3 – 2^2
    => 2B + B = 2^101 – 2
    => B = (2^101 – 2)/3

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

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