Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
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
Home
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
More problems from Simplify radical expressions involving fractions
Question
Find the real-number root.
\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
_
_
_
_
\_\_\_\_
____
Get tutor help
Posted 1 year ago
Question
Find the real-number root.
\newline
9
16
\sqrt{\frac{9}{16}}
16
9
\newline
Simplify your answer and write it as a decimal or as a proper or improper fraction.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Posted 1 year ago
Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth.
\newline
`\sqrt{957} `
\newline
_______
Get tutor help
Posted 1 year ago
Question
Multiply. Write your answer in simplest form.
\newline
273
×
42
\sqrt{273} \times \sqrt{42}
273
×
42
\newline
______
Get tutor help
Posted 11 months ago
Question
Simplify.
\newline
63
4
\sqrt{\frac{63}{4}}
4
63
\newline
______
Get tutor help
Posted 1 year ago
Question
Simplify. Rationalize the denominator.
\newline
−
4
9
−
2
\frac{-4}{9 - \sqrt{2}}
9
−
2
−
4
\newline
______
Get tutor help
Posted 1 year ago
Question
Solve for
z
z
z
.
\newline
16
=
z
16 = \sqrt{z}
16
=
z
\newline
z
=
z =
z
=
_____
Get tutor help
Posted 1 year ago
Question
Simplify the radical expression.
14
x
14
\sqrt{14x^{14}}
14
x
14
Write your answer in the form
A
A
A
,
B
\sqrt{B}
B
, or
A
B
A\sqrt{B}
A
B
, where
A
A
A
and
B
B
B
are constants or expressions in
x
x
x
. Use at most one radical in your answer, and at most one absolute value symbol in your expression for
A
A
A
. ______
Get tutor help
Posted 1 year ago
Question
Simplify the radical expression.
\newline
12
x
12
\sqrt{12x^{12}}
12
x
12
\newline
Write your answer in the form
A
A
A
,
B
\sqrt{B}
B
, or
A
B
A\sqrt{B}
A
B
, where
A
A
A
and
B
B
B
are constants or expressions in
x
x
x
. Use at most one radical in your answer, and at most one absolute value symbol in your expression for
A
A
A
.
\newline
‾
\underline{\hspace{3cm}}
Get tutor help
Posted 1 year ago
Question
What is the value of
sin
(
5
π
6
)
?
\sin \left(\frac{5 \pi}{6}\right) ?
sin
(
6
5
π
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
2
-\frac{\sqrt{3}}{2}
−
2
3
\newline
(B)
−
2
2
-\frac{\sqrt{2}}{2}
−
2
2
\newline
(C)
1
2
\frac{1}{2}
2
1
\newline
(D)
150
150
150
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant
