计算:3*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)+1塮塮

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 14:55:27

计算:3*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)+1塮塮
计算:3*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)+1
塮塮

计算:3*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)+1塮塮
3*(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+1)*(2^32+1)+1
=(2^8-1)*(2^8+1)*(2^16+1)*(2^32+1)+1
=(2^16-1)*(2^16+1)*(2^32+1)+1
=(2^32-1)*(2^32+1)+1
=2^64-1+1
=2^64.

ys
=(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+1)*(2^32+1)+1
=...
=(2^32-1)*(2^32+1)+1
=2^64-1+1
=2^64
=1.84467441 × 10^19

(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)...(2^16+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