Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Precalculus
Simplify expressions involving rational exponents
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
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
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
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
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
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
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
y
3
2
⋅
y
5
2
y^{\frac{3}{2}} \cdot y^{\frac{5}{2}}
y
2
3
⋅
y
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
u
13
6
u
17
6
\frac{u^{\frac{13}{6}}}{u^{\frac{17}{6}}}
u
6
17
u
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
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
w
4
3
⋅
w
7
3
w^{\frac{4}{3}} \cdot w^{\frac{7}{3}}
w
3
4
⋅
w
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
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
______
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
______
\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}} \cdot 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
v
2
7
⋅
v
8
7
v^{\frac{2}{7}} \cdot v^{\frac{8}{7}}
v
7
2
⋅
v
7
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
3
4
⋅
z
5
4
z^{\frac{3}{4}} \cdot z^{\frac{5}{4}}
z
4
3
⋅
z
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
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
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
u
5
2
⋅
u
3
2
u^{\frac{5}{2}} \cdot u^{\frac{3}{2}}
u
2
5
⋅
u
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
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
r
11
4
⋅
r
3
4
r^{\frac{11}{4}} \cdot 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
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
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
y
3
2
⋅
y
3
2
y^{\frac{3}{2}} \cdot y^{\frac{3}{2}}
y
2
3
⋅
y
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
c
1
2
⋅
c
1
2
c^{\frac{1}{2}} \cdot c^{\frac{1}{2}}
c
2
1
⋅
c
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
r
3
2
⋅
r
5
2
r^{\frac{3}{2}} \cdot r^{\frac{5}{2}}
r
2
3
⋅
r
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
b
9
4
⋅
b
1
4
b^{\frac{9}{4}} \cdot b^{\frac{1}{4}}
b
4
9
⋅
b
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
u
4
3
⋅
u
7
3
u^{\frac{4}{3}} \cdot u^{\frac{7}{3}}
u
3
4
⋅
u
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
r
4
3
⋅
r
7
3
r^{\frac{4}{3}} \cdot 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
t
11
6
×
t
17
6
t^{\frac{11}{6}} \times t^{\frac{17}{6}}
t
6
11
×
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
z
8
7
⋅
z
2
7
z^{\frac{8}{7}} \cdot z^{\frac{2}{7}}
z
7
8
⋅
z
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
______
Get tutor help
Simplify. Assume all variables are positive.
\newline
u
17
6
⋅
u
17
6
u^{\frac{17}{6}} \cdot u^{\frac{17}{6}}
u
6
17
⋅
u
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
x
1
2
×
x
3
2
x^{\frac{1}{2}} \times x^{\frac{3}{2}}
x
2
1
×
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
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
z
2
3
×
z
5
3
z^{\frac{2}{3}} \times 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
x
9
4
×
x
9
4
x^{\frac{9}{4}} \times x^{\frac{9}{4}}
x
4
9
×
x
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
x
5
2
×
x
1
2
x^{\frac{5}{2}} \times x^{\frac{1}{2}}
x
2
5
×
x
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
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
r
12
7
×
r
9
7
r^{\frac{12}{7}} \times 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
t
11
6
×
t
5
6
t^{\frac{11}{6}} \times 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
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
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
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
______
Get tutor help
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
______
Get tutor help
Previous
1
...
2
3
4
Next
