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简化计算 (2+1)(2^2+1)(2^4+1)(2^8+1)(2^32+1)+1没有2^16+1

分类: 作业答案 • 2022-02-21 18:19:46
问题描述：

简化计算 (2+1)(2^2+1)(2^4+1)(2^8+1)(2^32+1)+1
没有2^16+1

答

=(2-1)(2+1)......(2^32+1)+1
=(2^2-1)(2^2+1).....(2^32+1)+1
=(2^32-1)(2^32+1)+1
=2^64-1+1
=2^64

答

(2+1)*(2^2+1)*(2^4+1)*(2^8+1)(2^32+1)+1
=(2^2-1)*(2^2+1)*(2^4+1)*(2^8+1)(2^32+1)+1
=(2^4-1)*(2^4+1)*(2^8+1)(2^32+1)+1
=(2^8-1)*(2^8+1)(2^32+1)+1
=2^64
= 1.844674407371 * 10^19

答

题目中是不是少了(2^16+1) (2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1＝（2－1）（2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1＝（2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1=(2^4-1)(2^4+1)(2^8+1)(2^16...

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