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Let’s check out your problem:
Select the equivalent expression.
\newline
x
8
⋅
x
4
x
8
\frac{x^{8} \cdot x^{4}}{x^{8}}
x
8
x
8
⋅
x
4
\newline
1
x
4
\frac{1}{x^{4}}
x
4
1
\newline
1
x
3
\frac{1}{x^{3}}
x
3
1
\newline
x
3
x^{3}
x
3
\newline
x
4
x^{4}
x
4
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Home
Math Problems
Algebra 1
Multiplication with rational exponents
Full solution
Q.
Select the equivalent expression.
\newline
x
8
⋅
x
4
x
8
\frac{x^{8} \cdot x^{4}}{x^{8}}
x
8
x
8
⋅
x
4
\newline
1
x
4
\frac{1}{x^{4}}
x
4
1
\newline
1
x
3
\frac{1}{x^{3}}
x
3
1
\newline
x
3
x^{3}
x
3
\newline
x
4
x^{4}
x
4
Simplify Exponents:
Simplify the expression
(
x
8
⋅
x
4
)
/
(
x
8
)
(x^{8}\cdot x^{4})/(x^{8})
(
x
8
⋅
x
4
)
/
(
x
8
)
. When multiplying powers with the same base, add the exponents.
x
8
⋅
x
4
=
x
8
+
4
=
x
12
x^{8}\cdot x^{4} = x^{8+4} = x^{12}
x
8
⋅
x
4
=
x
8
+
4
=
x
12
.
Multiply Like Bases:
Now divide
x
12
x^{12}
x
12
by
x
8
x^{8}
x
8
. When dividing powers with the same base, subtract the exponents.
x
12
/
x
8
=
x
12
−
8
=
x
4
x^{12} / x^{8} = x^{12-8} = x^{4}
x
12
/
x
8
=
x
12
−
8
=
x
4
.
Divide Like Bases:
Check the given options to see which one matches the simplified expression
x
4
x^{4}
x
4
. The correct option is
x
4
x^{4}
x
4
.
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Simplify.
\newline
8
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8
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1
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\newline
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(
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Question
Simplify. Assume all variables are positive.
\newline
w
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w
3
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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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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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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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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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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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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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