题目内容
计算 (-
)-
+(2
)0.5+(sin10°)0+
-(
)-
-(
)-
．
| 27 |
| 8 |
| 2 |
| 3 |
| 7 |
| 9 |
6+4
|
| 1 |
| 2 |
| 1 |
| 2 |
| 27 |
| 125 |
| 1 |
| 3 |
分析：利用指数幂的运算性质逐项化简即可求得其值．
解答：解：(-
)-
+(2
)0.5+(sin10°)0+
-(
)-
-(
)-
=(-
)3×(-
)+(
)2×0.5+1+
•
-2-1×(-
)-(
)3×(-
)
=
+
+1+2+
-
-
=
．
| 27 |
| 8 |
| 2 |
| 3 |
| 7 |
| 9 |
6+4
|
| 1 |
| 2 |
| 1 |
| 2 |
| 27 |
| 125 |
| 1 |
| 3 |
=(-
| 3 |
| 2 |
| 2 |
| 3 |
| 5 |
| 3 |
| 2 |
(
|
| 1 |
| 2 |
| 3 |
| 5 |
| 1 |
| 3 |
=
| 4 |
| 9 |
| 5 |
| 3 |
| 2 |
| 2 |
| 5 |
| 3 |
=
| 31 |
| 9 |
点评：本题考查有理数指数幂的化简求值，着重考查指数幂的运算性质及其应用，属于中档题．
练习册系列答案
相关题目