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指数特性复习

复习常见的指数特性,以用不同的方法改写指数。例如,x²⋅x³ 可以被改写为 x⁵。
性质举例
x, start superscript, n, end superscript, dot, x, start superscript, m, end superscript, equals, x, start superscript, n, plus, m, end superscript2, cubed, dot, 2, start superscript, 5, end superscript, equals, 2, start superscript, 8, end superscript
start fraction, x, start superscript, n, end superscript, divided by, x, start superscript, m, end superscript, end fraction, equals, x, start superscript, n, minus, m, end superscriptstart fraction, 3, start superscript, 8, end superscript, divided by, 3, squared, end fraction, equals, 3, start superscript, 6, end superscript
left parenthesis, x, start superscript, n, end superscript, right parenthesis, start superscript, m, end superscript, equals, x, start superscript, n, dot, m, end superscriptleft parenthesis, 5, start superscript, 4, end superscript, right parenthesis, cubed, equals, 5, start superscript, 12, end superscript
left parenthesis, x, dot, y, right parenthesis, start superscript, n, end superscript, equals, x, start superscript, n, end superscript, dot, y, start superscript, n, end superscriptleft parenthesis, 3, dot, 5, right parenthesis, start superscript, 7, end superscript, equals, 3, start superscript, 7, end superscript, dot, 5, start superscript, 7, end superscript
left parenthesis, start fraction, x, divided by, y, end fraction, right parenthesis, start superscript, n, end superscript, equals, start fraction, x, start superscript, n, end superscript, divided by, y, start superscript, n, end superscript, end fractionleft parenthesis, start fraction, 2, divided by, 3, end fraction, right parenthesis, start superscript, 5, end superscript, equals, start fraction, 2, start superscript, 5, end superscript, divided by, 3, start superscript, 5, end superscript, end fraction
想要了解更多有关这些性质的信息吗?点击视频视频

次方的乘积性质

此性质说明当两个底数相同的幂相乘时,我们将指数相加。
x, start superscript, n, end superscript, dot, x, start superscript, m, end superscript, equals, x, start superscript, n, plus, m, end superscript

例题

5, squared, dot, 5, start superscript, 5, end superscript, equals, 5, start superscript, 2, plus, 5, end superscript, equals, 5, start superscript, 7, end superscript

练习

问题1.1
  • 当前
化简。
将表达式重写为8, start superscript, n, end superscript
8, start superscript, 6, end superscript, dot, 8, start superscript, 4, end superscript, equals

想要尝试更多此类题目?点击 练习

次方的除法性质

此性质表示当两个底数相同的幂相除时,我们将指数相减。
start fraction, x, start superscript, n, end superscript, divided by, x, start superscript, m, end superscript, end fraction, equals, x, start superscript, n, minus, m, end superscript

例题

start fraction, 3, start superscript, 8, end superscript, divided by, 3, squared, end fraction, equals, 3, start superscript, 8, minus, 2, end superscript, equals, 3, start superscript, 6, end superscript

练习

问题2.1
  • 当前
化简。
将表达式重写为7, start superscript, n, end superscript
start fraction, 7, start superscript, 7, end superscript, divided by, 7, cubed, end fraction, equals

想要尝试更多此类题目?点击 练习

次方的次方性质

此性质说明要找到幂的幂, 我们会将两个指数相乘。
left parenthesis, x, start superscript, n, end superscript, right parenthesis, start superscript, m, end superscript, equals, x, start superscript, n, dot, m, end superscript

例题

left parenthesis, 8, squared, right parenthesis, cubed, equals, 8, start superscript, 2, dot, 3, end superscript, equals, 8, start superscript, 6, end superscript

练习

问题3.1
  • 当前
化简。
将表达式重写为2, start superscript, n, end superscript
left parenthesis, 2, start superscript, 4, end superscript, right parenthesis, squared, equals

想要尝试更多此类题目?点击 练习

乘积的次方值

此性质表示当求乘积的幂时,我们可以将乘积的两个因数分开求幂。
left parenthesis, x, dot, y, right parenthesis, start superscript, n, end superscript, equals, x, start superscript, n, end superscript, dot, y, start superscript, n, end superscript

例题

left parenthesis, 3, dot, 5, right parenthesis, start superscript, 6, end superscript, equals, 3, start superscript, 6, end superscript, dot, 5, start superscript, 6, end superscript

练习

问题4.1
  • 当前
选择相等的表达式。
left parenthesis, 4, dot, 7, right parenthesis, start superscript, 8, end superscript, equals, question mark
选出正确答案:

想要尝试更多此类题目?点击 练习

分数的次方值

此性质表示当求分数的幂时,我们可以将分子和分母的幂分别进行运算。
left parenthesis, start fraction, x, divided by, y, end fraction, right parenthesis, start superscript, n, end superscript, equals, start fraction, x, start superscript, n, end superscript, divided by, y, start superscript, n, end superscript, end fraction

例题

left parenthesis, start fraction, 7, divided by, 2, end fraction, right parenthesis, start superscript, 8, end superscript, equals, start fraction, 7, start superscript, 8, end superscript, divided by, 2, start superscript, 8, end superscript, end fraction

练习

问题5.1
  • 当前
选择相等的表达式。
left parenthesis, start fraction, 6, divided by, 5, end fraction, right parenthesis, start superscript, 9, end superscript, equals, question mark
选出正确答案:

想要尝试更多此类题目?点击 练习

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