问题 解答题
计算下列各式:
(Ⅰ)(lg2)2+lg5•lg20-1;
(Ⅱ) (
32
×
3
)6+(
2
2
)
4
3
-4(
16
49
)-
1
2
-
42
×80.25-(-2005)0
答案

(Ⅰ)(lg2)2+lg5•lg20-1

=lg22+(1-lg2)(1+lg2)-1

=lg22+1-lg22-1=0.

(Ⅱ) (

32
×
3
)6+(
2
2
)
4
3
-4(
16
49
)-
1
2
-
42
×80.25-(-2005)0

=(2

1
3
×3
1
2
)6+(2
1
2
×2
1
4
)
4
3
-4×
7
4
-2
1
4
×2
3
4
-1

=22×33+2-7-2-1

=100.

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