神马品牌网奉化祥生 全装修:初一数学题
来源：百度文库 编辑：神马品牌网 时间：2024/05/05 23:05:11
求(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)的值
(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
=(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)/(1-1/2)
=(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)/(1-1/2)
=(1-1/2^4)(1+1/2^4)(1+1/2^8)/(1-1/2)
=(1-1/2^8)(1+1/2^8)/(1-1/2)
=(1-1/2^16)/(1/2)
=2-1/2^15
=65535/32768
(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
=(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
=2-2/2^16
=2-1/32768
=65535/32768
(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
=(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
=2-2/2^16
=2-1/32768
=65535/32768
65535/32768
977/256
1/2^2 是什么意思袄?