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Let’s check out your problem:
Which expression has the same value as
−
4
+
1
-4+1
−
4
+
1
?
\newline
−
4
−
(
−
1
)
-4-(-1)
−
4
−
(
−
1
)
\newline
−
1
−
(
−
4
)
-1-(-4)
−
1
−
(
−
4
)
\newline
1
−
(
−
4
)
1-(-4)
1
−
(
−
4
)
\newline
4
+
1
4+1
4
+
1
View step-by-step help
Home
Math Problems
Algebra 1
Multiplication with rational exponents
Full solution
Q.
Which expression has the same value as
−
4
+
1
-4+1
−
4
+
1
?
\newline
−
4
−
(
−
1
)
-4-(-1)
−
4
−
(
−
1
)
\newline
−
1
−
(
−
4
)
-1-(-4)
−
1
−
(
−
4
)
\newline
1
−
(
−
4
)
1-(-4)
1
−
(
−
4
)
\newline
4
+
1
4+1
4
+
1
Calculate Value:
Calculate the value of the given expression.
\newline
−
4
+
1
=
−
3
-4 + 1 = -3
−
4
+
1
=
−
3
\newline
This is the value we need to match with the other expressions.
Evaluate First Expression:
Evaluate the first alternative expression.
\newline
−
4
−
(
−
1
)
=
−
4
+
1
=
−
3
-4 - (-1) = -4 + 1 = -3
−
4
−
(
−
1
)
=
−
4
+
1
=
−
3
\newline
This expression matches the value of the given expression.
Evaluate Second Expression:
Evaluate the second alternative expression.
\newline
−
1
−
(
−
4
)
=
−
1
+
4
=
3
-1 - (-4) = -1 + 4 = 3
−
1
−
(
−
4
)
=
−
1
+
4
=
3
\newline
This expression does not match the value of the given expression.
Evaluate Third Expression:
Evaluate the third alternative expression.
\newline
1
−
(
−
4
)
=
1
+
4
=
5
1 - (-4) = 1 + 4 = 5
1
−
(
−
4
)
=
1
+
4
=
5
\newline
This expression does not match the value of the given expression.
Evaluate Fourth Expression:
Evaluate the fourth alternative expression.
\newline
4
+
1
=
5
4 + 1 = 5
4
+
1
=
5
\newline
This expression does not match the value of the given expression.
More problems from Multiplication with rational exponents
Question
Simplify.
\newline
8
1
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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)
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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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
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Posted 1 year ago
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