题目内容
计算:(0.0625)-
-[-2×(
)0]2×[(-2)3]
+10(2-
)-1-(
)-0.5.
| 1 |
| 4 |
| 7 |
| 3 |
| 4 |
| 3 |
| 3 |
| 1 |
| 300 |
分析:把0.0625化为(0.5)4,把(2-
)-1化为分式后采用分母有理化,(
)-0.5化为(300)
后进一步运用有理指数幂的化简即可求得原式的值.
| 3 |
| 1 |
| 300 |
| 1 |
| 2 |
解答:解:(0.0625)-
-[-2×(
)0]2×[(-2)3]
+10(2-
)-1-(
)-0.5
=[(0.5)4]-
-(-2)2×(-2)4+
-(300)
=(0.5)-1-26+10(2+
)-10
=2-26+20+10
-10
=22-26=-42.
| 1 |
| 4 |
| 7 |
| 3 |
| 4 |
| 3 |
| 3 |
| 1 |
| 300 |
=[(0.5)4]-
| 1 |
| 4 |
| 10 | ||
2-
|
| 1 |
| 2 |
=(0.5)-1-26+10(2+
| 3 |
| 3 |
=2-26+20+10
| 3 |
| 3 |
点评:本题考查有理指数幂的化简求值,解答的关键是熟记有理指数幂的运算性质,是基础题.
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