作业帮(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)的值为多少?
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(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)的值为多少?
(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