1 . (1)计算
;
(2)化简
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34386b80c966d57f6292fe6f508e6bf8.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf79e8e89cd80dcd30b17a064a103bb.png)
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2 . 已知
,求下列各式的值.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ba4f4450d63609ad3665858d35d82e.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19254520a76783e972c1e77de18814c4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06552218cce5d6078b0ac070aa37440e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ba4f4450d63609ad3665858d35d82e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19254520a76783e972c1e77de18814c4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac84f5f4e3831f162ba80ebe82191c1.png)
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2023高一·上海·专题练习
3 . 用有理数指数幂的形式表示下列各式(其中
,
):
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f8c641f5c3100372de064ede2dbe7cd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6bef7a2f5e3831356ae2d84b9f408f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029f4eec367e0540f9455032fca06055.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e387dbc25ab5e3b8d2e399887b5a73.png)
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2023高一·江苏·专题练习
4 . 将下列根式化为分数指数幂的形式:
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3667a37fb686d5769e9ab59a0c681c52.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3f0ae7086f9111a1c036941955a98d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26904b7065a81ad70bdd7485d2729a32.png)
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2023高一·江苏·专题练习
名校
5 . 计算下列各式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9233f62c34dfbf5bde96b47240ef72f2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f90ef16e4759aeb94832f68d547a5a.png)
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2023高一·江苏·专题练习
6 . 用分数指数幂表示下列各式:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec4cffd2451d2546b854628928d82b4.png)
;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6bdef5d72a036b1971f7c4e96df1a52.png)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec4cffd2451d2546b854628928d82b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f311053d11884b1a21d5f9b5724996c6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6bdef5d72a036b1971f7c4e96df1a52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f311053d11884b1a21d5f9b5724996c6.png)
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2023高一·江苏·专题练习
7 . 把下列根式化成分数指数幂的形式,其中
.
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ffce64e5382cc644290355c12cd723.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29366088f6ba248f6dc483b76defd59.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1186dda27b5440509cfb4814193abe.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7720d1bbdf8a88aaf513727cbed56cb0.png)
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2023高一·江苏·专题练习
8 . 用根式的形式表示下列各式(
).
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d7645791545b77fb86846d796d2858.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d7645791545b77fb86846d796d2858.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e1107e30a0afa7f8c5745f315f8989.png)
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2023高一·江苏·专题练习
9 . 求下列各式的值:
(1)
;
(2)
(
);
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4697da68e6fa38836b42a507252cbb0.png)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/240830bea0fc45b107cbbfe2a8096fbc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43473ddb9dcad93b3c50f39c8ddafd92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fe2115d883d13561e28006d3f6143b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4697da68e6fa38836b42a507252cbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61fe6d1bf1a54a1324de8c3e1028540c.png)
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名校
10 . 化简求值:
(1)计算
;
(2)计算
(式中字母均是正数)
(3)已知
,求
的值.
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ceccb27e8cbdc4cb185ac7cabe0341.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b4fcbf72cd6f7dcffa5cf8caff8830b.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d08a92e6ed65682f54180581ed304a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b977a560a23343419f368a0afe5f0b.png)
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