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Mathematics
Problem
For positive real number
x
x
x
, which of the following statements is always true? a)
x
3
/
4
x
1
/
4
=
x
1
/
12
\dfrac{x^{3/4}}{x^{1/4}}=x^{1/12}
x
1/4
x
3/4
=
x
1/12
b)
(
x
1
/
2
)
1
/
3
=
x
1
/
6
(x^{1/2})^{1/3}=x^{1/6}
(
x
1/2
)
1/3
=
x
1/6
c)
x
1
/
2
×
x
1
/
3
=
x
1
/
6
x^{1/2}\times x^{1/3}=x^{1/6}
x
1/2
×
x
1/3
=
x
1/6
d)
x
1
/
2
×
x
1
/
3
=
x
1
/
5
x^{1/2}\times x^{1/3}=x^{1/5}
x
1/2
×
x
1/3
=
x
1/5
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