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Math Problems
Precalculus
Simplify expressions involving rational exponents
Simplify. Assume all variables are positive.
\newline
s
3
4
⋅
s
7
4
s^{\frac{3}{4}} \cdot s^{\frac{7}{4}}
s
4
3
⋅
s
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
r
8
7
⋅
r
10
7
r^{\frac{8}{7}} \cdot r^{\frac{10}{7}}
r
7
8
⋅
r
7
10
\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
z
1
3
⋅
z
5
3
z^{\frac{1}{3}} \cdot z^{\frac{5}{3}}
z
3
1
⋅
z
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
u
8
5
⋅
u
12
5
u^{\frac{8}{5}} \cdot u^{\frac{12}{5}}
u
5
8
⋅
u
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
s
9
4
⋅
s
7
4
s^{\frac{9}{4}} \cdot s^{\frac{7}{4}}
s
4
9
⋅
s
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
r
5
4
⋅
r
7
4
r^{\frac{5}{4}} \cdot r^{\frac{7}{4}}
r
4
5
⋅
r
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
b
1
7
⋅
b
1
7
b^{\frac{1}{7}} \cdot b^{\frac{1}{7}}
b
7
1
⋅
b
7
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
s
5
7
⋅
s
1
7
s^{\frac{5}{7}} \cdot s^{\frac{1}{7}}
s
7
5
⋅
s
7
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
t
7
6
⋅
t
17
6
t^{\frac{7}{6}} \cdot t^{\frac{17}{6}}
t
6
7
⋅
t
6
17
\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
8
7
⋅
s
13
7
s^{\frac{8}{7}} \cdot s^{\frac{13}{7}}
s
7
8
⋅
s
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
w
5
4
⋅
w
9
4
w^{\frac{5}{4}} \cdot w^{\frac{9}{4}}
w
4
5
⋅
w
4
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
v
12
7
⋅
v
11
7
v^{\frac{12}{7}} \cdot v^{\frac{11}{7}}
v
7
12
⋅
v
7
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
v
7
3
⋅
v
4
3
v^{\frac{7}{3}} \cdot v^{\frac{4}{3}}
v
3
7
⋅
v
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
______
\newline
Get tutor help
Simplify. Assume all variables are positive.
\newline
b
2
5
⋅
b
14
5
b^{\frac{2}{5}} \cdot b^{\frac{14}{5}}
b
5
2
⋅
b
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
t
6
7
⋅
t
1
7
t^{\frac{6}{7}} \cdot t^{\frac{1}{7}}
t
7
6
⋅
t
7
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
c
7
3
⋅
c
2
3
c^{\frac{7}{3}} \cdot c^{\frac{2}{3}}
c
3
7
⋅
c
3
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
w
4
3
⋅
w
4
3
w^{\frac{4}{3}} \cdot w^{\frac{4}{3}}
w
3
4
⋅
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
Simplify. Assume all variables are positive.
\newline
v
5
4
⋅
v
9
4
v^{\frac{5}{4}} \cdot v^{\frac{9}{4}}
v
4
5
⋅
v
4
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
c
3
4
⋅
c
9
4
c^{\frac{3}{4}} \cdot c^{\frac{9}{4}}
c
4
3
⋅
c
4
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
______
\newline
Get tutor help
Simplify. Assume all variables are positive.
\newline
r
3
5
r
9
5
\frac{r^{\frac{3}{5}}}{r^{\frac{9}{5}}}
r
5
9
r
5
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
______
\newline
Get tutor help
Simplify. Assume all variables are positive.
\newline
r
7
3
⋅
r
8
3
r^{\frac{7}{3}} \cdot r^{\frac{8}{3}}
r
3
7
⋅
r
3
8
\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
z
9
5
z
6
5
\frac{z^{\frac{9}{5}}}{z^{\frac{6}{5}}}
z
5
6
z
5
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
v
7
5
⋅
v
13
5
v^{\frac{7}{5}} \cdot v^{\frac{13}{5}}
v
5
7
⋅
v
5
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
b
1
3
⋅
b
2
3
b^{\frac{1}{3}} \cdot b^{\frac{2}{3}}
b
3
1
⋅
b
3
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
s
7
6
s
5
6
\frac{s^{\frac{7}{6}}}{s^{\frac{5}{6}}}
s
6
5
s
6
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
y
3
7
⋅
y
10
7
y^{\frac{3}{7}} \cdot y^{\frac{10}{7}}
y
7
3
⋅
y
7
10
\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
2
5
⋅
d
13
5
d^{\frac{2}{5}} \cdot d^{\frac{13}{5}}
d
5
2
⋅
d
5
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
z
2
3
⋅
z
5
3
z^{\frac{2}{3}} \cdot z^{\frac{5}{3}}
z
3
2
⋅
z
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
y
11
6
⋅
y
11
6
y^{\frac{11}{6}} \cdot y^{\frac{11}{6}}
y
6
11
⋅
y
6
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
c
5
4
⋅
c
9
4
c^{\frac{5}{4}} \cdot c^{\frac{9}{4}}
c
4
5
⋅
c
4
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
b
6
5
⋅
b
7
5
b^{\frac{6}{5}} \cdot b^{\frac{7}{5}}
b
5
6
⋅
b
5
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
v
5
4
⋅
v
7
4
v^{\frac{5}{4}} \cdot v^{\frac{7}{4}}
v
4
5
⋅
v
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
s
3
2
⋅
s
5
2
s^{\frac{3}{2}} \cdot s^{\frac{5}{2}}
s
2
3
⋅
s
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
t
11
6
⋅
t
5
6
t^{\frac{11}{6}} \cdot t^{\frac{5}{6}}
t
6
11
⋅
t
6
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
r
12
7
⋅
r
9
7
r^{\frac{12}{7}} \cdot r^{\frac{9}{7}}
r
7
12
⋅
r
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
y
17
6
⋅
y
7
6
y^{\frac{17}{6}} \cdot y^{\frac{7}{6}}
y
6
17
⋅
y
6
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
w
4
7
⋅
w
6
7
w^{\frac{4}{7}} \cdot w^{\frac{6}{7}}
w
7
4
⋅
w
7
6
\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
y
8
3
⋅
y
7
3
y^{\frac{8}{3}} \cdot y^{\frac{7}{3}}
y
3
8
⋅
y
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
c
5
2
⋅
c
3
2
c^{\frac{5}{2}} \cdot c^{\frac{3}{2}}
c
2
5
⋅
c
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
t
6
5
⋅
t
11
5
t^{\frac{6}{5}} \cdot t^{\frac{11}{5}}
t
5
6
⋅
t
5
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
c
7
4
⋅
c
5
4
c^{\frac{7}{4}} \cdot c^{\frac{5}{4}}
c
4
7
⋅
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
v
2
3
⋅
v
4
3
v^{\frac{2}{3}} \cdot v^{\frac{4}{3}}
v
3
2
⋅
v
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
t
2
5
⋅
t
7
5
t^{\frac{2}{5}} \cdot t^{\frac{7}{5}}
t
5
2
⋅
t
5
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
s
7
6
⋅
s
13
6
s^{\frac{7}{6}} \cdot 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
v
7
6
v
13
6
\frac{v^{\frac{7}{6}}}{v^{\frac{13}{6}}}
v
6
13
v
6
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
______
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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
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
u
1
3
⋅
u
1
3
u^{\frac{1}{3}} \cdot u^{\frac{1}{3}}
u
3
1
⋅
u
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
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
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
______
Get tutor help
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