题目内容
计算下列各式:
(Ⅰ)(lg2)2+lg5•lg20-1;
(Ⅱ) (
×
)6+(
)
-4(
)-
-
×80.25-(-2005)0.
(Ⅰ)(lg2)2+lg5•lg20-1;
(Ⅱ) (
| 3 | 2 |
| 3 |
2
|
| 4 |
| 3 |
| 16 |
| 49 |
| 1 |
| 2 |
| 4 | 2 |
(Ⅰ)(lg2)2+lg5•lg20-1
=lg22+(1-lg2)(1+lg2)-1
=lg22+1-lg22-1=0.
(Ⅱ) (
×
)6+(
)
-4(
)-
-
×80.25-(-2005)0
=(2
×3
)6+(2
×2
)
-4×
-2
×2
-1
=22×33+2-7-2-1
=100.
=lg22+(1-lg2)(1+lg2)-1
=lg22+1-lg22-1=0.
(Ⅱ) (
| 3 | 2 |
| 3 |
2
|
| 4 |
| 3 |
| 16 |
| 49 |
| 1 |
| 2 |
| 4 | 2 |
=(2
| 1 |
| 3 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 4 |
| 4 |
| 3 |
| 7 |
| 4 |
| 1 |
| 4 |
| 3 |
| 4 |
=22×33+2-7-2-1
=100.
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