问题 填空题
(1+
5
1
)(1+
5
2
)(1+
5
3
)(1+
5
4
)…(1+
5
10
)
(1+
6
1
)(1+
6
2
)(1+
6
3
)(1+
6
4
)…(1+
6
8
)
=______.
答案

(1+
5
1
)(1+
5
2
)(1+
5
3
)(1+
5
4
)…(1+
5
10
)
(1+
6
1
)(1+
6
2
)(1+
6
3
)(1+
6
4
)…(1+
6
8
)

=

6
1
×
7
2
×
8
3
×…×
15
10
7
1
×
8
2
×
9
3
×…×
14
8

=

6×7×8×…×15
1×2×3×…×10
7×8×9×…×14
1×2×3×…×8

=

6×7×8×…×15
1×2×3×…×10
×
1×2×3×…×8
7×8×9×…×14

=

6×15
9×10

=1.

故答案为:1.

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