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:
基本指數律
語言
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基本:
a
m+n
=a
m
*a
n
a
m
n
=(a
m
)
n
=a
m*n
a
0
=1,a≠0
a
1
m
{\displaystyle a^{\frac {1}{m}}}
=
a
m
{\displaystyle {\sqrt[{m}]{a}}}
a
-m
=
1
a
m
{\displaystyle {\frac {1}{a^{m}}}}
引出:
a
m-n
=
a
m
a
n
{\displaystyle {\frac {a^{m}}{a^{n}}}}
,a≠0
a
m
n
=
a
m
n
{\displaystyle a^{\frac {m}{n}}={\sqrt[{n}]{a^{m}}}}
(
a
b
)
m
=
a
m
b
m
{\displaystyle ({\frac {a}{b}})^{m}={\frac {a^{m}}{b^{m}}}}
,b≠0
(a*b)
m
=a
m
*b
m