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Math Problems
Algebra 1
Multiplication with rational exponents
Express the following fraction in simplest form using only positive exponents.
\newline
2
m
9
(
4
m
5
)
4
\frac{2 m^{9}}{\left(4 m^{5}\right)^{4}}
(
4
m
5
)
4
2
m
9
\newline
Answer:
\newline
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Express the following fraction in simplest form using only positive exponents.
\newline
5
c
6
(
4
c
3
)
4
\frac{5 c^{6}}{\left(4 c^{3}\right)^{4}}
(
4
c
3
)
4
5
c
6
\newline
Answer:
\newline
Submit Answer
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Express the following fraction in simplest form using only positive exponents.
\newline
5
c
6
(
4
c
3
)
4
\frac{5 c^{6}}{\left(4 c^{3}\right)^{4}}
(
4
c
3
)
4
5
c
6
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
2
h
5
(
3
h
2
)
2
\frac{2 h^{5}}{\left(3 h^{2}\right)^{2}}
(
3
h
2
)
2
2
h
5
\newline
Answer:
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Fully simplify using only positive exponents.
\newline
4
x
4
y
7
2
x
4
y
6
\frac{4 x^{4} y^{7}}{2 x^{4} y^{6}}
2
x
4
y
6
4
x
4
y
7
\newline
Answer:
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Express the following fraction in simplest form, only using positive exponents.
\newline
−
4
b
−
1
(
−
3
b
3
)
5
\frac{-4 b^{-1}}{\left(-3 b^{3}\right)^{5}}
(
−
3
b
3
)
5
−
4
b
−
1
\newline
Answer:
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Express the following fraction in simplest form, only using positive exponents.
\newline
3
x
−
9
(
−
4
x
−
5
)
2
\frac{3 x^{-9}}{\left(-4 x^{-5}\right)^{2}}
(
−
4
x
−
5
)
2
3
x
−
9
\newline
Answer:
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Express the following fraction in simplest form, only using positive exponents.
\newline
(
−
5
w
−
5
)
2
−
5
w
−
2
\frac{\left(-5 w^{-5}\right)^{2}}{-5 w^{-2}}
−
5
w
−
2
(
−
5
w
−
5
)
2
\newline
Answer:
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Express the following fraction in simplest form, only using positive exponents.
\newline
(
−
3
w
−
3
)
5
−
6
w
−
5
\frac{\left(-3 w^{-3}\right)^{5}}{-6 w^{-5}}
−
6
w
−
5
(
−
3
w
−
3
)
5
\newline
Answer:
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Express the following fraction in simplest form, only using positive exponents.
\newline
(
−
2
w
3
)
2
10
w
−
2
\frac{\left(-2 w^{3}\right)^{2}}{10 w^{-2}}
10
w
−
2
(
−
2
w
3
)
2
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
6
d
4
2
(
d
2
)
2
\frac{6 d^{4}}{2\left(d^{2}\right)^{2}}
2
(
d
2
)
2
6
d
4
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
2
(
q
5
)
3
10
q
10
\frac{2\left(q^{5}\right)^{3}}{10 q^{10}}
10
q
10
2
(
q
5
)
3
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
6
a
5
3
(
a
2
)
5
\frac{6 a^{5}}{3\left(a^{2}\right)^{5}}
3
(
a
2
)
5
6
a
5
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
2
b
5
2
(
b
5
)
4
\frac{2 b^{5}}{2\left(b^{5}\right)^{4}}
2
(
b
5
)
4
2
b
5
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
(
5
b
3
)
2
5
b
6
\frac{\left(5 b^{3}\right)^{2}}{5 b^{6}}
5
b
6
(
5
b
3
)
2
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
2
(
s
3
)
2
3
s
\frac{2\left(s^{3}\right)^{2}}{3 s}
3
s
2
(
s
3
)
2
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
12
s
6
(
4
s
4
)
3
\frac{12 s^{6}}{\left(4 s^{4}\right)^{3}}
(
4
s
4
)
3
12
s
6
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
5
z
6
(
4
z
)
4
\frac{5 z^{6}}{(4 z)^{4}}
(
4
z
)
4
5
z
6
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
(
4
s
5
)
4
2
s
7
\frac{\left(4 s^{5}\right)^{4}}{2 s^{7}}
2
s
7
(
4
s
5
)
4
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
3
c
7
3
(
c
3
)
3
\frac{3 c^{7}}{3\left(c^{3}\right)^{3}}
3
(
c
3
)
3
3
c
7
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
(
5
u
4
)
3
2
u
4
\frac{\left(5 u^{4}\right)^{3}}{2 u^{4}}
2
u
4
(
5
u
4
)
3
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
2
(
d
4
)
3
6
d
5
\frac{2\left(d^{4}\right)^{3}}{6 d^{5}}
6
d
5
2
(
d
4
)
3
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
2
(
z
5
)
2
4
z
5
\frac{2\left(z^{5}\right)^{2}}{4 z^{5}}
4
z
5
2
(
z
5
)
2
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
2
d
4
5
(
d
4
)
3
\frac{2 d^{4}}{5\left(d^{4}\right)^{3}}
5
(
d
4
)
3
2
d
4
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
(
2
y
4
)
2
4
y
\frac{\left(2 y^{4}\right)^{2}}{4 y}
4
y
(
2
y
4
)
2
\newline
Answer:
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Express the following fraction in simplest form using only positive exponents.
\newline
2
d
4
5
(
d
4
)
3
\frac{2 d^{4}}{5\left(d^{4}\right)^{3}}
5
(
d
4
)
3
2
d
4
\newline
Answer:
\newline
Submit Answer
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Express the following fraction in simplest form using only positive exponents.
\newline
(
3
j
5
)
2
2
j
8
\frac{\left(3 j^{5}\right)^{2}}{2 j^{8}}
2
j
8
(
3
j
5
)
2
\newline
Answer:
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Select the equivalent expression.
\newline
x
8
x
−
1
⋅
x
−
5
\frac{x^{8}}{x^{-1} \cdot x^{-5}}
x
−
1
⋅
x
−
5
x
8
\newline
1
x
4
\frac{1}{x^{4}}
x
4
1
\newline
x
14
x^{14}
x
14
\newline
x
4
x^{4}
x
4
\newline
1
x
14
\frac{1}{x^{14}}
x
14
1
Get tutor help
Select the equivalent expression.
\newline
x
8
y
2
x
7
y
−
7
\frac{x^{8} y^{2}}{x^{7} y^{-7}}
x
7
y
−
7
x
8
y
2
\newline
x
y
9
x y^{9}
x
y
9
\newline
x
y
5
\frac{x}{y^{5}}
y
5
x
\newline
y
5
x
\frac{y^{5}}{x}
x
y
5
\newline
1
x
y
9
\frac{1}{x y^{9}}
x
y
9
1
Get tutor help
Select the equivalent expression.
\newline
x
−
3
x
−
6
⋅
x
−
7
\frac{x^{-3}}{x^{-6} \cdot x^{-7}}
x
−
6
⋅
x
−
7
x
−
3
\newline
x
2
x^{2}
x
2
\newline
x
10
x^{10}
x
10
\newline
1
x
10
\frac{1}{x^{10}}
x
10
1
\newline
1
x
2
\frac{1}{x^{2}}
x
2
1
Get tutor help
Select the equivalent expression.
\newline
y
2
x
7
x
−
5
y
−
2
\frac{y^{2}}{x^{7} x^{-5} y^{-2}}
x
7
x
−
5
y
−
2
y
2
\newline
y
4
x
2
\frac{y^{4}}{x^{2}}
x
2
y
4
\newline
x
2
y
4
\frac{x^{2}}{y^{4}}
y
4
x
2
\newline
x
12
y
4
x^{12} y^{4}
x
12
y
4
\newline
1
x
12
y
4
\frac{1}{x^{12} y^{4}}
x
12
y
4
1
Get tutor help
Select the equivalent expression.
\newline
x
−
2
⋅
x
−
5
x
8
\frac{x^{-2} \cdot x^{-5}}{x^{8}}
x
8
x
−
2
⋅
x
−
5
\newline
1
x
15
\frac{1}{x^{15}}
x
15
1
\newline
x
15
x^{15}
x
15
\newline
x
x
x
\newline
1
x
\frac{1}{x}
x
1
Get tutor help
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
Get tutor help
Select the equivalent expression.
\newline
x
6
x
4
⋅
x
8
\frac{x^{6}}{x^{4} \cdot x^{8}}
x
4
⋅
x
8
x
6
\newline
1
x
18
\frac{1}{x^{18}}
x
18
1
\newline
x
6
x^{6}
x
6
\newline
1
x
6
\frac{1}{x^{6}}
x
6
1
\newline
x
18
x^{18}
x
18
Get tutor help
Select the equivalent expression.
\newline
x
⋅
x
3
x
5
\frac{x \cdot x^{3}}{x^{5}}
x
5
x
⋅
x
3
\newline
1
x
3
\frac{1}{x^{3}}
x
3
1
\newline
1
x
\frac{1}{x}
x
1
\newline
x
x
x
\newline
x
3
x^{3}
x
3
Get tutor help
Select the equivalent expression.
\newline
x
−
3
y
y
x
−
8
\frac{x^{-3} y y}{x^{-8}}
x
−
8
x
−
3
yy
\newline
1
x
5
y
2
\frac{1}{x^{5} y^{2}}
x
5
y
2
1
\newline
x
11
y
2
x^{11} y^{2}
x
11
y
2
\newline
x
5
y
2
x^{5} y^{2}
x
5
y
2
\newline
1
x
11
y
2
\frac{1}{x^{11} y^{2}}
x
11
y
2
1
Get tutor help
Select the equivalent expression.
\newline
y
−
8
y
−
6
x
5
x
3
\frac{y^{-8} y^{-6}}{x^{5} x^{3}}
x
5
x
3
y
−
8
y
−
6
\newline
x
8
y
2
x^{8} y^{2}
x
8
y
2
\newline
1
x
8
y
2
\frac{1}{x^{8} y^{2}}
x
8
y
2
1
\newline
1
x
8
y
14
\frac{1}{x^{8} y^{14}}
x
8
y
14
1
\newline
x
8
y
14
x^{8} y^{14}
x
8
y
14
Get tutor help
Select the equivalent expression.
\newline
x
2
x
−
1
⋅
x
7
\frac{x^{2}}{x^{-1} \cdot x^{7}}
x
−
1
⋅
x
7
x
2
\newline
1
x
6
\frac{1}{x^{6}}
x
6
1
\newline
x
6
x^{6}
x
6
\newline
x
4
x^{4}
x
4
\newline
1
x
4
\frac{1}{x^{4}}
x
4
1
Get tutor help
Select the equivalent expression.
\newline
x
2
x
−
6
⋅
x
3
\frac{x^{2}}{x^{-6} \cdot x^{3}}
x
−
6
⋅
x
3
x
2
\newline
1
x
\frac{1}{x}
x
1
\newline
x
5
x^{5}
x
5
\newline
1
x
5
\frac{1}{x^{5}}
x
5
1
\newline
x
x
x
Get tutor help
Select the equivalent expression.
\newline
x
−
1
x
−
6
y
7
y
2
\frac{x^{-1} x^{-6} y^{7}}{y^{2}}
y
2
x
−
1
x
−
6
y
7
\newline
y
5
x
7
\frac{y^{5}}{x^{7}}
x
7
y
5
\newline
x
5
y
5
\frac{x^{5}}{y^{5}}
y
5
x
5
\newline
x
7
y
5
\frac{x^{7}}{y^{5}}
y
5
x
7
\newline
y
5
x
5
\frac{y^{5}}{x^{5}}
x
5
y
5
Get tutor help
Select the equivalent expression.
\newline
x
8
x
4
⋅
x
4
\frac{x^{8}}{x^{4} \cdot x^{4}}
x
4
⋅
x
4
x
8
\newline
1
x
8
\frac{1}{x^{8}}
x
8
1
\newline
x
8
x^{8}
x
8
\newline
1
1
1
\newline
x
x
x
Get tutor help
Select the equivalent expression.
\newline
x
5
⋅
x
5
x
6
\frac{x^{5} \cdot x^{5}}{x^{6}}
x
6
x
5
⋅
x
5
\newline
1
x
6
\frac{1}{x^{6}}
x
6
1
\newline
x
6
x^{6}
x
6
\newline
x
4
x^{4}
x
4
\newline
1
x
4
\frac{1}{x^{4}}
x
4
1
Get tutor help
Select the equivalent expression.
\newline
x
−
6
y
−
1
x
y
5
\frac{x^{-6} y^{-1}}{x y^{5}}
x
y
5
x
−
6
y
−
1
\newline
x
7
x^{7}
x
7
\newline
1
x
7
y
6
\frac{1}{x^{7} y^{6}}
x
7
y
6
1
\newline
1
x
7
\frac{1}{x^{7}}
x
7
1
\newline
x
7
y
6
x^{7} y^{6}
x
7
y
6
Get tutor help
Select the equivalent expression.
\newline
x
3
x
⋅
x
2
\frac{x^{3}}{x \cdot x^{2}}
x
⋅
x
2
x
3
\newline
x
4
x^{4}
x
4
\newline
1
x
4
\frac{1}{x^{4}}
x
4
1
\newline
1
1
1
\newline
x
x
x
Get tutor help
Select the equivalent expression.
\newline
x
−
8
⋅
x
−
7
x
−
5
\frac{x^{-8} \cdot x^{-7}}{x^{-5}}
x
−
5
x
−
8
⋅
x
−
7
\newline
x
10
x^{10}
x
10
\newline
x
4
x^{4}
x
4
\newline
1
x
4
\frac{1}{x^{4}}
x
4
1
\newline
1
x
10
\frac{1}{x^{10}}
x
10
1
Get tutor help
Select the equivalent expression.
\newline
x
−
3
x
3
⋅
x
−
7
\frac{x^{-3}}{x^{3} \cdot x^{-7}}
x
3
⋅
x
−
7
x
−
3
\newline
x
7
x^{7}
x
7
\newline
1
x
\frac{1}{x}
x
1
\newline
1
x
7
\frac{1}{x^{7}}
x
7
1
\newline
x
x
x
Get tutor help
Select the equivalent expression.
\newline
x
−
7
x
−
6
⋅
x
4
\frac{x^{-7}}{x^{-6} \cdot x^{4}}
x
−
6
⋅
x
4
x
−
7
\newline
x
9
x^{9}
x
9
\newline
1
x
5
\frac{1}{x^{5}}
x
5
1
\newline
1
x
9
\frac{1}{x^{9}}
x
9
1
\newline
x
5
x^{5}
x
5
Get tutor help
Select the equivalent expression.
\newline
x
−
8
x
6
⋅
x
−
5
\frac{x^{-8}}{x^{6} \cdot x^{-5}}
x
6
⋅
x
−
5
x
−
8
\newline
x
9
x^{9}
x
9
\newline
x
7
x^{7}
x
7
\newline
1
x
9
\frac{1}{x^{9}}
x
9
1
\newline
1
x
7
\frac{1}{x^{7}}
x
7
1
Get tutor help
Express the following fraction in simplest form, only using positive exponents.
\newline
6
z
5
−
2
(
z
4
)
5
\frac{6 z^{5}}{-2\left(z^{4}\right)^{5}}
−
2
(
z
4
)
5
6
z
5
\newline
Answer:
Get tutor help
Express the following fraction in simplest form, only using positive exponents.
\newline
5
(
r
4
)
3
−
20
r
−
3
\frac{5\left(r^{4}\right)^{3}}{-20 r^{-3}}
−
20
r
−
3
5
(
r
4
)
3
\newline
Answer:
Get tutor help
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