计算:(1+1/2)(1+1/22)(1+1/24)(1+1/28)+1/215=_.
问题描述:
计算:(1+
)(1+1 2
)(1+1 22
)(1+1 24
)+1 28
=______. 1 215
答
原式=2×(1-
)(1+1 2
)(1+1 2
)(1+1 22
)(1+1 24
)+1 28
1 215
=2×(1-
)+1 216
1 215
=2-
+1 215
1 215
=2,
故答案为:2.