Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
7
−
9
×
3
10
×
2
15
×
−
25
42
\frac{7}{-9} \times \frac{3}{10} \times \frac{2}{15} \times-\frac{25}{42}
−
9
7
×
10
3
×
15
2
×
−
42
25
View step-by-step help
Home
Math Problems
Algebra 2
Evaluate rational exponents
Full solution
Q.
7
−
9
×
3
10
×
2
15
×
−
25
42
\frac{7}{-9} \times \frac{3}{10} \times \frac{2}{15} \times-\frac{25}{42}
−
9
7
×
10
3
×
15
2
×
−
42
25
Multiply Numerators:
Multiply the numerators together:
7
×
3
×
2
×
−
25
7 \times 3 \times 2 \times -25
7
×
3
×
2
×
−
25
.
\newline
Calculation:
7
×
3
×
2
×
−
25
=
42
×
−
50
=
−
2100
7 \times 3 \times 2 \times -25 = 42 \times -50 = -2100
7
×
3
×
2
×
−
25
=
42
×
−
50
=
−
2100
.
Multiply Denominators:
Multiply the denominators together:
−
9
×
10
×
15
×
42
-9 \times 10 \times 15 \times 42
−
9
×
10
×
15
×
42
.
\newline
Calculation:
−
9
×
10
×
15
×
42
=
−
90
×
630
=
−
56700
-9 \times 10 \times 15 \times 42 = -90 \times 630 = -56700
−
9
×
10
×
15
×
42
=
−
90
×
630
=
−
56700
.
Divide Results:
Divide the result from the numerators by the result from the denominators:
−
2100
/
−
56700
-2100 / -56700
−
2100/
−
56700
. Calculation:
−
2100
/
−
56700
=
1
/
27
-2100 / -56700 = 1 / 27
−
2100/
−
56700
=
1/27
.
More problems from Evaluate rational exponents
Question
Simplify.
\newline
8
1
1
2
81^{\frac{1}{2}}
8
1
2
1
\newline
_____________
Get tutor help
Posted 2 months ago
Question
Simplify.
\newline
(
−
32
)
1
/
5
(-32)^{1/5}
(
−
32
)
1/5
\newline
______
Get tutor help
Posted 2 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 2 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 1 month 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 2 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 1 month ago
Question
Simplify.
\newline
3
2
(
−
1
/
5
)
32^{(-1/5)}
3
2
(
−
1/5
)
Get tutor help
Posted 1 month 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 2 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 1 month ago