化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)

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化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)
化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)

化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)
原式左乘一个[1-2^(1/32)]/[1-2^(1/32)]得
[1-2^(1/32)]*[1+2^(1/32)]*[1+2^(1/16)]*[1+2^(1/8)]*[1+2^(1/4)]*[1+2^(1/2)]/[1-2^(1/32)]
=[1-2^(1/16)]*[1+2^(1/16)]*[1+2^(1/8)]*[1+2^(1/4)]*[1+2^(1/2)]/[1-2^(1/32)]
=[1-2^(1/8)]*[1+2^(1/8)]*[1+2^(1/4)]*[1+2^(1/2)]/[1-2^(1/32)]
=[1-2^(1/4)]*[1+2^(1/4)]*[1+2^(1/2)]/[1-2^(1/32)]
=[1-2^(1/2)]*[1+2^(1/2)]/[1-2^(1/32)]
=(1-2)/[1-2^(1/32)]
=1/[2^(1/32)-1]