化简计算(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)

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化简计算(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
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化简计算(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
化简计算(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)

化简计算(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
=2*(1-1/2)*(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
=2(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
=2(1-1/2^4)(1+1/2^4)(1+1/2^8)
=2(1-1/2^8)(1+1/2^8)
=2(1-1/2^16)
=2-1/2^15