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Math Problems
Grade 8
Powers of a power: variable bases
Simplify. Express your answer as a single term using exponents.
\newline
50
5
2
50
5
6
\frac{505^2}{505^6}
50
5
6
50
5
2
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Simplify. Express your answer using a single exponent.
\newline
(
9
d
4
)
2
(9d^4)^2
(
9
d
4
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
11
t
3
)
2
(11t^3)^2
(
11
t
3
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
11
j
6
)
2
(11j^6)^2
(
11
j
6
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
10
s
3
)
3
(10s^3)^3
(
10
s
3
)
3
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Simplify. Express your answer using a single exponent.
\newline
(
11
v
5
)
2
(11v^5)^2
(
11
v
5
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
4
w
5
)
2
(4w^5)^2
(
4
w
5
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
5
s
4
)
3
(5s^4)^3
(
5
s
4
)
3
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Simplify. Express your answer using a single exponent.
\newline
(
3
z
5
)
4
(3z^5)^4
(
3
z
5
)
4
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Simplify. Express your answer using a single exponent.
\newline
(
8
g
8
)
2
(8g^8)^2
(
8
g
8
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
11
u
9
)
2
(11u^9)^2
(
11
u
9
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
4
b
6
)
4
(4b^6)^4
(
4
b
6
)
4
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
3
(
−
x
−
1
)
=
−
(
−
3
x
−
2
)
-3(-x-1)=-(-3 x-2)
−
3
(
−
x
−
1
)
=
−
(
−
3
x
−
2
)
\newline
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Simplify. Write your answer using whole numbers and variables.
\newline
37
q
q
2
+
4
q
\frac{37q}{q^2 + 4q}
q
2
+
4
q
37
q
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Simplify. Write your answer using whole numbers and variables.
\newline
2
q
2
−
7
q
31
q
\frac{2q^2 - 7q}{31q}
31
q
2
q
2
−
7
q
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Simplify. Write your answer using whole numbers and variables.
\newline
16
p
−
32
p
−
2
\frac{16p - 32}{p - 2}
p
−
2
16
p
−
32
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Simplify. Write your answer using whole numbers and variables.
\newline
7
k
−
21
k
−
3
\frac{7k - 21}{k - 3}
k
−
3
7
k
−
21
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Simplify. Write your answer using whole numbers and variables.
\newline
4
n
2
−
9
n
4
n
−
9
\frac{4n^2 - 9n}{4n - 9}
4
n
−
9
4
n
2
−
9
n
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Simplify. Write your answer using whole numbers and variables.
\newline
r
−
9
r
2
−
9
r
\frac{r - 9}{r^2 - 9r}
r
2
−
9
r
r
−
9
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Simplify. Express your answer using a single exponent.
\newline
(
5
s
9
)
2
(5s^9)^2
(
5
s
9
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
3
h
3
)
2
(3h^3)^2
(
3
h
3
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
7
q
8
)
2
(7q^8)^2
(
7
q
8
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
12
d
7
)
2
(12d^7)^2
(
12
d
7
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
12
a
9
)
2
(12a^9)^2
(
12
a
9
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
11
k
7
)
2
(11k^7)^2
(
11
k
7
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
10
d
2
)
3
(10d^2)^3
(
10
d
2
)
3
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Simplify. Express your answer using a single exponent.
\newline
(
9
g
9
)
2
(9g^{9})^{2}
(
9
g
9
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
10
b
8
)
3
(10b^8)^3
(
10
b
8
)
3
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Simplify. Express your answer using a single exponent.
\newline
(
12
y
9
)
2
(12y^9)^2
(
12
y
9
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
3
x
6
)
2
(3x^6)^2
(
3
x
6
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
6
w
2
)
3
(6w^2)^3
(
6
w
2
)
3
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Simplify. Express your answer using a single exponent.
\newline
(
9
m
2
)
2
(9m^2)^2
(
9
m
2
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
8
q
4
)
2
(8q^4)^2
(
8
q
4
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
11
p
3
)
2
(11p^3)^2
(
11
p
3
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
8
k
4
)
2
(8k^4)^2
(
8
k
4
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
7
y
6
)
2
(7y^6)^2
(
7
y
6
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
10
q
5
)
4
(10q^5)^4
(
10
q
5
)
4
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Simplify. Express your answer using a single exponent.
\newline
(
4
d
6
)
3
(4d^6)^3
(
4
d
6
)
3
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Simplify. Express your answer using a single exponent.
\newline
(
4
y
5
)
3
(4y^5)^3
(
4
y
5
)
3
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Simplify. Express your answer using a single exponent.
\newline
(
5
r
6
)
2
(5r^6)^2
(
5
r
6
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
12
a
4
)
2
(12a^4)^2
(
12
a
4
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
7
s
9
)
2
(7s^9)^2
(
7
s
9
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
6
b
4
)
3
(6b^4)^3
(
6
b
4
)
3
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Simplify. Express your answer using a single exponent.
\newline
(
7
c
7
)
2
(7c^7)^2
(
7
c
7
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
7
u
5
)
2
(7u^5)^2
(
7
u
5
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
11
v
6
)
2
(11v^6)^2
(
11
v
6
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
11
h
5
)
2
(11h^5)^2
(
11
h
5
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
3
c
2
)
2
(3c^2)^2
(
3
c
2
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
10
a
2
)
2
(10a^2)^2
(
10
a
2
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
7
a
6
)
2
(7a^6)^2
(
7
a
6
)
2
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