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Mathematics
Mathematics
Problem
For a non-zero real number
a
a
a
and integers
m
,
n
m,n
m
,
n
, which of the following correctly states the law known as the “quotient of powers”? a)
a
m
a
n
=
a
m
+
n
\dfrac{a^{m}}{a^{n}} = a^{m+n}
a
n
a
m
=
a
m
+
n
b)
a
m
a
n
=
a
m
−
n
\dfrac{a^{m}}{a^{n}} = a^{m-n}
a
n
a
m
=
a
m
−
n
c)
a
m
a
n
=
a
n
−
m
\dfrac{a^{m}}{a^{n}} = a^{n-m}
a
n
a
m
=
a
n
−
m
d)
a
m
a
n
=
a
m
n
\dfrac{a^{m}}{a^{n}} = a^{\frac{m}{n}}
a
n
a
m
=
a
n
m
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