规定:求若干个相同的有理数(均不等于0)的除法运算叫做除方,如
等.类比有理数的乘方,我们把
记作
,读作“2的下3次方”,一般地,把n个
相除记作
,读作“a的下n次方”.
【初步探究】
(1)直接写出计算结果:
______.
【深入思考】
我们知道,有理数的减法运算可以转化为加法运算,除法运算可以转化为乘法运算,有理数的除方运算如何转化为乘方运算呢?
例如:
(幂的形式).
(2)试一试:将下列除方运算直接写成幂的形式.
______;
______;
(3)算一算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbfa18465de74e7a3a414704f38ba39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbfa18465de74e7a3a414704f38ba39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826bf6b788af19032ff565d6573967ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8efd441767fa55e1af9ebcc78529684e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
【初步探究】
(1)直接写出计算结果:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6656e2e181ffdca58f14f5c467cc5e.png)
【深入思考】
我们知道,有理数的减法运算可以转化为加法运算,除法运算可以转化为乘法运算,有理数的除方运算如何转化为乘方运算呢?
例如:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b709183ad31d478f9be1ebb520d0f6.png)
(2)试一试:将下列除方运算直接写成幂的形式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97be821a8dfdcda1f262768015081ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748b227962350c1eac0f2536f229ec.png)
(3)算一算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f034250e045f1f7fbbbdd5d47a4efb9d.png)
更新时间:2024-01-05 20:15:44
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【推荐2】计算:(直接写出结果)
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名校
【推荐1】在数轴上把下列各数表示出来,并用“
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
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