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Math Problems
Precalculus
Simplify expressions involving rational exponents
Simplify. Assume all variables are positive.
\newline
w
1
7
⋅
w
2
7
w^{\frac{1}{7}} \cdot w^{\frac{2}{7}}
w
7
1
⋅
w
7
2
\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
______
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Simplify. Assume all variables are positive.
\newline
d
9
7
⋅
d
13
7
d^{\frac{9}{7}} \cdot d^{\frac{13}{7}}
d
7
9
⋅
d
7
13
\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
______
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Simplify. Assume all variables are positive.
\newline
t
5
2
⋅
t
3
2
t^{\frac{5}{2}} \cdot t^{\frac{3}{2}}
t
2
5
⋅
t
2
3
\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
______
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Simplify. Assume all variables are positive.
\newline
y
13
7
⋅
y
9
7
y^{\frac{13}{7}} \cdot y^{\frac{9}{7}}
y
7
13
⋅
y
7
9
\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
______
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Simplify. Assume all variables are positive.
\newline
s
7
6
×
s
13
6
s^{\frac{7}{6}} \times s^{\frac{13}{6}}
s
6
7
×
s
6
13
\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
______
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Simplify. Assume all variables are positive.
\newline
s
4
3
⋅
s
1
3
s^{\frac{4}{3}} \cdot s^{\frac{1}{3}}
s
3
4
⋅
s
3
1
\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
______
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Simplify. Assume all variables are positive.
\newline
t
1
4
⋅
t
5
4
t^{\frac{1}{4}} \cdot t^{\frac{5}{4}}
t
4
1
⋅
t
4
5
\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
Simplify. Assume all variables are positive.
\newline
c
11
4
⋅
c
11
4
c^{\frac{11}{4}} \cdot c^{\frac{11}{4}}
c
4
11
⋅
c
4
11
\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
Simplify. Assume all variables are positive.
\newline
t
5
3
⋅
t
5
3
t^{\frac{5}{3}} \cdot t^{\frac{5}{3}}
t
3
5
⋅
t
3
5
\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
Simplify. Assume all variables are positive.
\newline
x
4
5
×
x
14
5
x^{\frac{4}{5}} \times x^{\frac{14}{5}}
x
5
4
×
x
5
14
\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
Simplify. Assume all variables are positive.
\newline
s
5
4
⋅
s
3
4
s^{\frac{5}{4}} \cdot s^{\frac{3}{4}}
s
4
5
⋅
s
4
3
\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
Simplify. Assume all variables are positive.
\newline
u
7
4
×
u
7
4
u^{\frac{7}{4}} \times u^{\frac{7}{4}}
u
4
7
×
u
4
7
\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
Simplify. Assume all variables are positive.
\newline
c
11
6
⋅
c
13
6
c^{\frac{11}{6}} \cdot c^{\frac{13}{6}}
c
6
11
⋅
c
6
13
\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
Simplify. Assume all variables are positive.
\newline
c
5
2
⋅
c
5
2
c^{\frac{5}{2}} \cdot c^{\frac{5}{2}}
c
2
5
⋅
c
2
5
\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
Simplify. Assume all variables are positive.
\newline
c
1
2
⋅
c
5
2
c^{\frac{1}{2}} \cdot c^{\frac{5}{2}}
c
2
1
⋅
c
2
5
\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
Simplify. Assume all variables are positive.
\newline
s
3
2
⋅
s
1
2
s^{\frac{3}{2}} \cdot s^{\frac{1}{2}}
s
2
3
⋅
s
2
1
\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
Simplify. Assume all variables are positive.
\newline
b
11
5
⋅
b
12
5
b^{\frac{11}{5}} \cdot b^{\frac{12}{5}}
b
5
11
⋅
b
5
12
\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
Simplify. Assume all variables are positive.
\newline
x
3
2
×
x
3
2
x^{\frac{3}{2}} \times x^{\frac{3}{2}}
x
2
3
×
x
2
3
\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
Simplify. Assume all variables are positive.
\newline
s
11
7
⋅
s
12
7
s^{\frac{11}{7}} \cdot s^{\frac{12}{7}}
s
7
11
⋅
s
7
12
\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
Simplify. Assume all variables are positive.
\newline
r
11
4
×
r
3
4
r^{\frac{11}{4}} \times r^{\frac{3}{4}}
r
4
11
×
r
4
3
\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
Simplify. Assume all variables are positive.
\newline
c
5
4
⋅
c
5
4
c^{\frac{5}{4}} \cdot c^{\frac{5}{4}}
c
4
5
⋅
c
4
5
\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
Simplify. Assume all variables are positive.
\newline
d
7
4
⋅
d
1
4
d^{\frac{7}{4}} \cdot d^{\frac{1}{4}}
d
4
7
⋅
d
4
1
\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
Simplify. Assume all variables are positive.
\newline
r
1
3
⋅
r
4
3
r^{\frac{1}{3}} \cdot r^{\frac{4}{3}}
r
3
1
⋅
r
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
Simplify. Assume all variables are positive.
\newline
r
4
3
×
r
7
3
r^{\frac{4}{3}} \times r^{\frac{7}{3}}
r
3
4
×
r
3
7
\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
Simplify. Assume all variables are positive.
\newline
u
6
7
×
u
12
7
u^{\frac{6}{7}} \times u^{\frac{12}{7}}
u
7
6
×
u
7
12
\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
Consider the following expression.
\newline
9
b
+
5
a
+
2
+
6
a
9 b+5 a+2+6 a
9
b
+
5
a
+
2
+
6
a
\newline
Select all of the true statements below.
\newline
(A)
9
b
9 b
9
b
is a coefficient.
\newline
(B)
9
b
9 b
9
b
is a term.
\newline
(C)
9
b
9 b
9
b
is a factor.
\newline
(D)
5
a
5 a
5
a
and
6
a
6 a
6
a
are like terms.
\newline
(E)
2
2
2
is a constant.
\newline
(F) None of these are true.
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