Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
How many groups of
1
4
\frac{1}{4}
4
1
are in
7
7
7
?
View step-by-step help
Home
Math Problems
Algebra 1
Evaluate integers raised to positive rational exponents
Full solution
Q.
How many groups of
1
4
\frac{1}{4}
4
1
are in
7
7
7
?
Divide by
1
1
1
/
4
4
4
:
To find out how many groups of
1
/
4
1/4
1/4
are in
7
7
7
, we divide
7
7
7
by
1
/
4
1/4
1/4
.
\newline
7
÷
1
/
4
=
7
×
4
/
1
=
28
7 \div 1/4 = 7 \times 4/1 = 28
7
÷
1/4
=
7
×
4/1
=
28
Check Calculation:
Check the calculation:
28
28
28
groups of
1
4
\frac{1}{4}
4
1
make
28
×
1
4
=
7
28 \times \frac{1}{4} = 7
28
×
4
1
=
7
, which is correct.
More problems from Evaluate integers raised to positive rational exponents
Question
Simplify.
\newline
8
1
1
2
81^{\frac{1}{2}}
8
1
2
1
\newline
_____________
Get tutor help
Posted 1 year ago
Question
Simplify.
\newline
(
−
32
)
1
/
5
(-32)^{1/5}
(
−
32
)
1/5
\newline
______
Get tutor help
Posted 1 year 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 9 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 9 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 9 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 9 months ago
Question
Simplify.
\newline
3
2
(
−
1
/
5
)
32^{(-1/5)}
3
2
(
−
1/5
)
Get tutor help
Posted 1 year 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 1 year 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 1 year 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 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant