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Let’s check out your problem:
(
x
6
/
5
)
5
\left(x^{6 / 5}\right)^{5}
(
x
6/5
)
5
=
View step-by-step help
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Math Problems
Algebra 2
Simplify radical expressions involving fractions
Full solution
Q.
(
x
6
/
5
)
5
\left(x^{6 / 5}\right)^{5}
(
x
6/5
)
5
=
Apply power rule:
Apply the power of a power rule, which states that
(
a
m
)
n
=
a
m
∗
n
(a^{m})^{n} = a^{m*n}
(
a
m
)
n
=
a
m
∗
n
.
\newline
(
x
6
5
)
5
=
x
(
6
5
∗
5
)
(x^{\frac{6}{5}})^{5} = x^{(\frac{6}{5}*5)}
(
x
5
6
)
5
=
x
(
5
6
∗
5
)
Multiply exponents:
Multiply the exponents
6
5
\frac{6}{5}
5
6
by
5
5
5
.
x
(
6
5
)
⋅
5
=
x
6
5
⋅
5
1
x^{\left(\frac{6}{5}\right)\cdot 5} = x^{\frac{6}{5} \cdot \frac{5}{1}}
x
(
5
6
)
⋅
5
=
x
5
6
⋅
1
5
Perform
fraction
multiplication:
Perform the multiplication of the
fractions
.
x
(
6
5
⋅
5
1
)
=
x
(
30
5
)
x^{(\frac{6}{5} \cdot \frac{5}{1})} = x^{(\frac{30}{5})}
x
(
5
6
⋅
1
5
)
=
x
(
5
30
)
Simplify fraction:
Simplify the fraction
30
5
\frac{30}{5}
5
30
.
\newline
x
(
30
5
)
=
x
6
x^{\left(\frac{30}{5}\right)} = x^6
x
(
5
30
)
=
x
6
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A
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(
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)
?
\sin \left(\frac{5 \pi}{6}\right) ?
sin
(
6
5
π
)
?
\newline
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1
1
1
answer:
\newline
(A)
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2
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−
2
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2
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−
2
2
\newline
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2
1
\newline
(D)
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