Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
V
=
1
3
π
3
2
⋅
3
V=\frac{1}{3} \pi 3^{2} \cdot 3
V
=
3
1
π
3
2
⋅
3
View step-by-step help
Home
Math Problems
Algebra 1
Evaluate integers raised to rational exponents
Full solution
Q.
V
=
1
3
π
3
2
⋅
3
V=\frac{1}{3} \pi 3^{2} \cdot 3
V
=
3
1
π
3
2
⋅
3
Calculate Volume Formula:
Calculate the volume of the cone using the formula
V
=
1
3
π
r
2
h
V = \frac{1}{3}\pi r^2h
V
=
3
1
π
r
2
h
.
\newline
V
=
1
3
π
(
3
)
2
(
3
)
V = \frac{1}{3}\pi(3)^2(3)
V
=
3
1
π
(
3
)
2
(
3
)
Square Radius:
Square the radius.
\newline
(
3
)
2
=
9
(3)^2 = 9
(
3
)
2
=
9
Multiply Radius and Height:
Multiply the squared radius by the height.
9
×
3
=
27
9 \times 3 = 27
9
×
3
=
27
Multiply by
(
1
3
)
π
(\frac{1}{3})\pi
(
3
1
)
π
:
Multiply by
(
1
3
)
π
(\frac{1}{3})\pi
(
3
1
)
π
to get the volume.
\newline
V
=
(
1
3
)
π
×
27
V = (\frac{1}{3})\pi \times 27
V
=
(
3
1
)
π
×
27
Calculate Final Value:
Calculate the final value.
V
=
π
×
9
V = \pi \times 9
V
=
π
×
9
More problems from Evaluate integers raised to rational exponents
Question
Simplify.
\newline
8
1
1
2
81^{\frac{1}{2}}
8
1
2
1
\newline
_____________
Get tutor help
Posted 3 months ago
Question
Simplify.
\newline
(
−
32
)
1
/
5
(-32)^{1/5}
(
−
32
)
1/5
\newline
______
Get tutor help
Posted 3 months ago
Question
Simplify. Assume all variables are positive.
\newline
w
4
3
w
7
3
\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}
w
3
7
w
3
4
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
Get tutor help
Posted 3 months ago
Question
Simplify. Assume all variables are positive.
\newline
(
2
r
1
3
)
8
(2r^{\frac{1}{3}})^8
(
2
r
3
1
)
8
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
Get tutor help
Posted 2 months ago
Question
Simplify. Assume all variables are positive.
\newline
v
7
4
⋅
v
9
4
v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}
v
4
7
⋅
v
4
9
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
Get tutor help
Posted 3 months ago
Question
Simplify.
\newline
1
1
4
⋅
1
1
4
1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}
1
4
1
⋅
1
4
1
\newline
______
Get tutor help
Posted 2 months ago
Question
Simplify.
\newline
3
2
(
−
1
/
5
)
32^{(-1/5)}
3
2
(
−
1/5
)
Get tutor help
Posted 2 months ago
Question
Simplify. Assume all variables are positive.
\newline
w
3
2
w
5
2
\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}
w
2
5
w
2
3
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
Get tutor help
Posted 3 months ago
Question
Simplify. Assume all variables are positive.
\newline
(
27
x
)
2
3
(27x)^{\frac{2}{3}}
(
27
x
)
3
2
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
Get tutor help
Posted 2 months ago
Question
Simplify. Assume all variables are positive.
\newline
x
1
4
x
11
4
\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}
x
4
11
x
4
1
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
Get tutor help
Posted 2 months ago