
计算以下图片中的题目O(∩_∩)O谢谢
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(1+1/2)(1+1/2²)(1+1/2^4)(1+1/2^8)(1+1/2^16)
=(1-1/2)(1+1/2)(1+1/2²)(1+1/2^4)(1+1/2^8)(1+1/2^16)÷(1-1/2)
=(1-1/2²)(1+1/2²)(1+1/2^4)(1+1/2^8)(1+1/2^16)÷(1-1/2)
=(1-1/2^4)(1+1/2^4)(1+1/2^8)(1+1/2^16)÷1/2
=(1-1/2^8)(1+1/2^8)(1+1/2^16)÷1/2
=(1-1/2^16)(1+1/2^16)÷1/2
=(1-1/2^32)×2
=2-1/2^31
=(1-1/2)(1+1/2)(1+1/2²)(1+1/2^4)(1+1/2^8)(1+1/2^16)÷(1-1/2)
=(1-1/2²)(1+1/2²)(1+1/2^4)(1+1/2^8)(1+1/2^16)÷(1-1/2)
=(1-1/2^4)(1+1/2^4)(1+1/2^8)(1+1/2^16)÷1/2
=(1-1/2^8)(1+1/2^8)(1+1/2^16)÷1/2
=(1-1/2^16)(1+1/2^16)÷1/2
=(1-1/2^32)×2
=2-1/2^31
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