(2-1)乘(2+1)乘(2^2+1)乘(2^4+1)乘(2^8+1)乘(2^16+1)乘(2^32+1)要过程和答案
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![(2-1)乘(2+1)乘(2^2+1)乘(2^4+1)乘(2^8+1)乘(2^16+1)乘(2^32+1)要过程和答案](/uploads/image/z/11520673-25-3.jpg?t=%EF%BC%882-1%EF%BC%89%E4%B9%98%EF%BC%882%2B1%EF%BC%89%E4%B9%98%EF%BC%882%5E2%2B1%EF%BC%89%E4%B9%98%EF%BC%882%5E4%2B1%EF%BC%89%E4%B9%98%EF%BC%882%5E8%2B1%EF%BC%89%E4%B9%98%EF%BC%882%5E16%2B1%EF%BC%89%E4%B9%98%EF%BC%882%5E32%2B1%EF%BC%89%E8%A6%81%E8%BF%87%E7%A8%8B%E5%92%8C%E7%AD%94%E6%A1%88)
(2-1)乘(2+1)乘(2^2+1)乘(2^4+1)乘(2^8+1)乘(2^16+1)乘(2^32+1)要过程和答案
(2-1)乘(2+1)乘(2^2+1)乘(2^4+1)乘(2^8+1)乘(2^16+1)乘(2^32+1)要过程和答案
(2-1)乘(2+1)乘(2^2+1)乘(2^4+1)乘(2^8+1)乘(2^16+1)乘(2^32+1)要过程和答案
(2-1)×(2+1)×(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)×(2^32+1)
=(2^2-1)×(2^2+1)×(2^4+1)×(2^8+1)×(2^16+1)×(2^32+1)
=(2^4-1)×(2^4+1)×(2^8+1)×(2^16+1)×(2^32+1)
=(2^8-1)×(2^8+1)×(2^16+1)×(2^32+1)
=(2^16-1)×(2^16+1)×(2^32+1)
=(2^32-1)×(2^32+1)
=2^64-1
原式=(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-...
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原式=(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
=(2^4)^16
=16^16
个位永远是6*6*6*……
所以不用计算机可得出个位是6
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