计算:(1+1/2)(1+1/22)(1+1/24)(1+1/28)+1/215=_.

问题描述:

计算:(1+

1
2
)(1+
1
22
)(1+
1
24
)(1+
1
28
)+
1
215
=______.

原式=2×(1-

1
2
)(1+
1
2
)(1+
1
22
)(1+
1
24
)(1+
1
28
)+
1
215

=2×(1-
1
216
)+
1
215

=2-
1
215
+
1
215

=2,
故答案为:2.