(2+1)(2∧2+1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1)-2∧64求值

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/02 07:59:44

(2+1)(2∧2+1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1)-2∧64求值
(2+1)(2∧2+1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1)-2∧64求值

(2+1)(2∧2+1)(2∧4+1)(2∧8+1)(2∧16+1)(2∧32+1)-2∧64求值
-1.你先去括号,就会发现规律,即 2的63次方加到2的0次方,再减去2的64次方.最后用一下等比数列求和公式.

原式=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
=2^64-1-2^64
=-1