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Let’s check out your problem:
Rewrite the expression without using a negative exponent.
\newline
1
−
2
y
−
2
\frac{1}{-2y^{-2}}
−
2
y
−
2
1
\newline
Simplify your answer as much as possible.
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Math Problems
Algebra 2
Power rule
Full solution
Q.
Rewrite the expression without using a negative exponent.
\newline
1
−
2
y
−
2
\frac{1}{-2y^{-2}}
−
2
y
−
2
1
\newline
Simplify your answer as much as possible.
Move to Numerator:
Convert the negative exponent to a positive exponent by moving
y
−
2
y^{-2}
y
−
2
to the numerator.
\newline
Calculation:
(
1
)
/
(
−
2
y
−
2
)
=
(
1
⋅
y
2
)
/
(
−
2
)
(1)/(-2y^{-2}) = (1 \cdot y^2)/(-2)
(
1
)
/
(
−
2
y
−
2
)
=
(
1
⋅
y
2
)
/
(
−
2
)
Multiply Numerators:
Simplify the expression by multiplying the numerators.
\newline
Calculation:
(
y
2
)
/
(
−
2
)
(y^2)/(-2)
(
y
2
)
/
(
−
2
)
Show Negative Sign:
Rewrite the expression to show the negative sign more clearly.
\newline
Calculation:
−
y
2
2
-\frac{y^2}{2}
−
2
y
2
More problems from Power rule
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Simplify.
\newline
8
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1
2
81^{\frac{1}{2}}
8
1
2
1
\newline
_____________
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Simplify.
\newline
(
−
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)
1
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(-32)^{1/5}
(
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32
)
1/5
\newline
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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
______
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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
______
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Posted 9 months 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
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Posted 9 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 9 months ago
Question
Simplify.
\newline
3
2
(
−
1
/
5
)
32^{(-1/5)}
3
2
(
−
1/5
)
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Posted 1 year 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 1 year 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 1 year 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 year ago
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