学帮网(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)的值为多少?
来源：学生作业学帮网 编辑：学帮网 时间：2024/06/04 02:48:49
(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)的值为多少?
(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2-1)(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2²-1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^4 -1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^8 -1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^16 -1)(2^16+1)(2^32+1)(2^64+1)
=(2^32-1)(2^32+1)(2^64+1)
=(2^64 -1)(2^64+1)
=2^128 -1