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Math Problems
Grade 8
Multiply and divide powers: variable bases
(a)
\newline
(b)
\newline
(c)
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Simplify. Write your answer using whole numbers and variables.
\newline
g
3
g
2
−
4
g
\frac{g}{3g^2 - 4g}
3
g
2
−
4
g
g
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Simplify. Express your answer using positive exponents.
\newline
10
c
10
c
9
\frac{10c}{10c^9}
10
c
9
10
c
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Simplify. Express your answer using positive exponents.
\newline
6
j
6
j
7
\frac{6j}{6j^7}
6
j
7
6
j
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Simplify. Express your answer as a single term using exponents.
\newline
98
2
7
×
98
2
2
982^7 \times 982^2
98
2
7
×
98
2
2
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Simplify. Express your answer as a single term using exponents.
\newline
62
2
8
×
62
2
8
622^8 \times 622^8
62
2
8
×
62
2
8
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Simplify. Express your answer as a single term using exponents.
\newline
31
0
3
31
0
3
\frac{310^3}{310^3}
31
0
3
31
0
3
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Simplify. Express your answer as a single term using exponents.
\newline
91
3
3
91
3
7
\frac{913^3}{913^7}
91
3
7
91
3
3
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Simplify. Express your answer as a single term using exponents.
\newline
94
8
2
94
8
6
\frac{948^2}{948^6}
94
8
6
94
8
2
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Simplify. Express your answer as a single term using exponents.
\newline
83
6
8
×
83
6
2
836^8 \times 836^2
83
6
8
×
83
6
2
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Simplify. Express your answer as a single term using exponents.
\newline
97
7
4
×
97
7
5
977^4 \times 977^5
97
7
4
×
97
7
5
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Simplify. Express your answer using positive exponents.
\newline
2
u
9
2
u
\frac{2u^9}{2u}
2
u
2
u
9
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Simplify. Express your answer as a single term using exponents.
\newline
36
2
2
36
2
2
\frac{362^2}{362^2}
36
2
2
36
2
2
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Simplify. Express your answer as a single term using exponents.
\newline
70
4
4
×
70
4
8
704^4 \times 704^8
70
4
4
×
70
4
8
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Simplify. Express your answer using positive exponents.
\newline
3
r
(
r
)
(
3
r
)
\frac{3r}{(r)(3r)}
(
r
)
(
3
r
)
3
r
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Simplify. Express your answer using positive exponents.
\newline
(
6
b
9
)
(
4
b
7
)
(
8
b
)
(6b^9)(4b^7)(8b)
(
6
b
9
)
(
4
b
7
)
(
8
b
)
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Simplify. Express your answer using positive exponents.
\newline
5
k
7
5
k
⋅
k
\frac{5k^7}{5k \cdot k}
5
k
⋅
k
5
k
7
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Simplify. Express your answer using positive exponents.
\newline
(
4
a
8
)
(
6
a
4
)
(
7
a
)
(4a^8)(6a^4)(7a)
(
4
a
8
)
(
6
a
4
)
(
7
a
)
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Simplify. Express your answer using positive exponents.
\newline
3
r
5
3
r
9
⋅
r
3
\frac{3r^5}{3r^9 \cdot r^3}
3
r
9
⋅
r
3
3
r
5
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Simplify. Express your answer using positive exponents.
\newline
(
8
r
4
)
(
9
r
)
(
2
r
)
(8r^4)(9r)(2r)
(
8
r
4
)
(
9
r
)
(
2
r
)
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Simplify. Express your answer using positive exponents.
\newline
9
h
2
(
9
h
)
(
h
4
)
\frac{9h^2}{(9h)(h^4)}
(
9
h
)
(
h
4
)
9
h
2
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Simplify. Express your answer using positive exponents.
\newline
5
c
3
5
c
⋅
c
\frac{5c^3}{5c \cdot c}
5
c
⋅
c
5
c
3
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Simplify. Express your answer using positive exponents.
\newline
9
a
5
3
a
3
⋅
a
2
\frac{9a^5}{3a^3 \cdot a^2}
3
a
3
⋅
a
2
9
a
5
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Simplify. Express your answer using positive exponents.
\newline
(
7
c
6
)
(
4
c
4
)
(
10
c
)
(7c^6)(4c^4)(10c)
(
7
c
6
)
(
4
c
4
)
(
10
c
)
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Simplify. Express your answer using positive exponents.
\newline
10
p
10
p
⋅
p
\frac{10p}{10p \cdot p}
10
p
⋅
p
10
p
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Simplify. Express your answer using positive exponents.
\newline
8
u
u
2
\frac{8u}{u^2}
u
2
8
u
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Simplify. Express your answer using positive exponents.
\newline
4
t
4
t
⋅
t
\frac{4t}{4t \cdot t}
4
t
⋅
t
4
t
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Simplify. Express your answer using positive exponents.
\newline
9
z
7
9
z
4
×
z
3
\frac{9z^7}{9z^4 \times z^3}
9
z
4
×
z
3
9
z
7
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Simplify. Express your answer using positive exponents.
\newline
10
t
6
(
10
t
9
)
(
t
)
\frac{10t^6}{(10t^9)(t)}
(
10
t
9
)
(
t
)
10
t
6
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Simplify. Express your answer using positive exponents.
\newline
(
4
j
)
(
5
j
2
)
(
4
j
2
)
(4j)(5j^2)(4j^2)
(
4
j
)
(
5
j
2
)
(
4
j
2
)
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Simplify. Express your answer using positive exponents.
\newline
(
10
c
5
)
(
4
c
)
(
5
c
)
(10c^5)(4c)(5c)
(
10
c
5
)
(
4
c
)
(
5
c
)
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Simplify. Express your answer using positive exponents.
\newline
4
k
(
4
k
)
(
k
)
\frac{4k}{(4k)(k)}
(
4
k
)
(
k
)
4
k
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Simplify. Express your answer using positive exponents.
\newline
(
2
y
4
)
(
4
y
8
)
(
9
y
)
(2y^4)(4y^8)(9y)
(
2
y
4
)
(
4
y
8
)
(
9
y
)
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Simplify. Express your answer using positive exponents.
\newline
(
2
p
6
)
(
6
p
5
)
(
10
p
3
)
(2p^6)(6p^5)(10p^3)
(
2
p
6
)
(
6
p
5
)
(
10
p
3
)
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Express your answer as a proper or improper fraction
\newline
4
11
x
+
1
4
=
1
8
\frac{4}{11} x+\frac{1}{4}=\frac{1}{8}
11
4
x
+
4
1
=
8
1
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Simplify. Express your answer using positive exponents.
\newline
(
2
a
b
7
)
(
6
a
9
b
)
\left(2 a b^{7}\right)\left(6 a^{9} b\right)
(
2
a
b
7
)
(
6
a
9
b
)
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Simplify. Write your answer using whole numbers and variables.
\newline
2
g
+
20
4
g
\frac{2g+20}{4g}
4
g
2
g
+
20
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Simplify. Write your answer using whole numbers and variables.
\newline
k
2
−
4
k
k
−
4
\frac{k^2 - 4k}{k - 4}
k
−
4
k
2
−
4
k
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Simplify. Write your answer using whole numbers and variables.
\newline
p
2
−
3
p
p
−
3
\frac{p^2 - 3p}{p - 3}
p
−
3
p
2
−
3
p
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Simplify. Write your answer using whole numbers and variables.
\newline
3
k
2
+
10
k
k
\frac{3k^2 + 10k}{k}
k
3
k
2
+
10
k
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Simplify. Write your answer using whole numbers and variables.
\newline
4
g
2
+
9
g
4
g
+
9
\frac{4g^2 + 9g}{4g + 9}
4
g
+
9
4
g
2
+
9
g
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Simplify. Write your answer using whole numbers and variables.
\newline
s
2
−
6
s
5
s
\frac{s^2 - 6s}{5s}
5
s
s
2
−
6
s
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Simplify. Write your answer using whole numbers and variables.
\newline
j
2
−
7
j
j
\frac{j^2 - 7j}{j}
j
j
2
−
7
j
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Simplify. Write your answer using whole numbers and variables.
\newline
h
2
−
5
h
h
\frac{h^2 - 5h}{h}
h
h
2
−
5
h
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Simplify. Write your answer using whole numbers and variables.
\newline
d
−
4
d
2
−
4
d
\frac{d - 4}{d^2 - 4d}
d
2
−
4
d
d
−
4
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Simplify. Write your answer using whole numbers and variables.
\newline
s
2
−
9
s
s
−
9
\frac{s^2 - 9s}{s - 9}
s
−
9
s
2
−
9
s
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Simplify. Write your answer using whole numbers and variables.
\newline
29
j
j
2
−
2
j
\frac{29j}{j^2 - 2j}
j
2
−
2
j
29
j
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Simplify. Write your answer using whole numbers and variables.
\newline
k
2
−
7
k
k
\frac{k^2 - 7k}{k}
k
k
2
−
7
k
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Simplify. Write your answer using whole numbers and variables.
\newline
8
w
2
+
7
w
w
\frac{8w^2 + 7w}{w}
w
8
w
2
+
7
w
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Simplify. Write your answer using whole numbers and variables.
\newline
2
j
−
8
6
j
\frac{2j -8}{6j}
6
j
2
j
−
8
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