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Mathematics
Problem
To confirm that
a
2
5
=
a
2
5
\sqrt[5]{a^{2}}=a^{\frac{2}{5}}
5
a
2
=
a
5
2
for
a
>
0
a>0
a
>
0
, which of the following equations must be true? a)
(
a
2
5
)
2
=
a
5
(a^{\frac{2}{5}})^{2}=a^{5}
(
a
5
2
)
2
=
a
5
b)
(
a
2
)
1
5
=
a
5
2
(a^{2})^{\frac{1}{5}}=a^{\frac{5}{2}}
(
a
2
)
5
1
=
a
2
5
c)
(
a
2
5
)
5
=
a
2
(a^{\frac{2}{5}})^{5}=a^{2}
(
a
5
2
)
5
=
a
2
d)
(
a
2
5
)
5
=
a
27
5
(a^{\frac{2}{5}})^{5}=a^{\frac{27}{5}}
(
a
5
2
)
5
=
a
5
27
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