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Let’s check out your problem:
Real Numbers
\newline
Exponents and signed fractions
\newline
Evaluate. Write your answers as fractio
\newline
(
−
4
3
)
3
=
□
−
5
3
2
=
□
\begin{aligned} \left(-\frac{4}{3}\right)^{3} & =\square \\ \frac{-5}{3^{2}} & =\square \end{aligned}
(
−
3
4
)
3
3
2
−
5
=
□
=
□
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Math Problems
Algebra 1
Power rule with rational exponents
Full solution
Q.
Real Numbers
\newline
Exponents and signed fractions
\newline
Evaluate. Write your answers as fractio
\newline
(
−
4
3
)
3
=
□
−
5
3
2
=
□
\begin{aligned} \left(-\frac{4}{3}\right)^{3} & =\square \\ \frac{-5}{3^{2}} & =\square \end{aligned}
(
−
3
4
)
3
3
2
−
5
=
□
=
□
Calculate
(
−
4
3
)
3
(-\frac{4}{3})^3
(
−
3
4
)
3
:
We need to calculate
(
−
4
3
)
3
(-\frac{4}{3})^3
(
−
3
4
)
3
first.
\newline
(-\frac{4}{3})^3 = (-4)^3 / (3)^3\(\newline= -\frac{64}{27}\)
Find value of
(
−
5
)
/
(
3
2
)
(-5)/(3^2)
(
−
5
)
/
(
3
2
)
:
Now let's find the value of
(
−
5
)
/
(
3
2
)
(-5)/(3^2)
(
−
5
)
/
(
3
2
)
.
\newline
(
−
5
)
/
(
3
2
)
=
(
−
5
)
/
9
(-5)/(3^2) = (-5) / 9
(
−
5
)
/
(
3
2
)
=
(
−
5
)
/9
More problems from Power rule with rational exponents
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Simplify.
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8
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Simplify. Assume all variables are positive.
\newline
w
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\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
(
2
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8
(2r^{\frac{1}{3}})^8
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\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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Posted 1 month ago
Question
Simplify. Assume all variables are positive.
\newline
v
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⋅
v
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v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}
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⋅
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\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
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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
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Posted 1 month ago
Question
Simplify.
\newline
3
2
(
−
1
/
5
)
32^{(-1/5)}
3
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(
−
1/5
)
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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
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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
______
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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
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Posted 1 month ago