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Math Problems
Grade 8
Identify equivalent expressions involving exponents I
Which expression is equivalent to
5
4
×
3
4
5^4 \times 3^4
5
4
×
3
4
?
\newline
Choices:
\newline
(A)
1
5
8
15^8
1
5
8
\newline
(B)
1
5
4
15^4
1
5
4
\newline
(C)
1
5
16
15^{16}
1
5
16
\newline
(D)
1
1
5
4
\frac{1}{15^4}
1
5
4
1
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Which expression is equivalent to
2
5
×
2
4
2^5 \times 2^4
2
5
×
2
4
?
\newline
Choices:
\newline
(A)
1
2
20
\frac{1}{2^{20}}
2
20
1
\newline
(B)
2
20
2^{20}
2
20
\newline
(C)
2
9
2^9
2
9
\newline
(D)
1
2
9
\frac{1}{2^9}
2
9
1
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Which expression is equivalent to
4
6
×
3
6
4^6 \times 3^6
4
6
×
3
6
?
\newline
Choices:
\newline
(A)
1
1
2
6
\frac{1}{12^6}
1
2
6
1
\newline
(B)
1
2
36
12^{36}
1
2
36
\newline
(C)
1
2
12
12^{12}
1
2
12
\newline
(D)
1
2
6
12^6
1
2
6
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Which expression is equivalent to
8
4
×
4
4
8^4 \times 4^4
8
4
×
4
4
?
\newline
Choices:
\newline
(A)
1
3
2
4
\frac{1}{32^4}
3
2
4
1
\newline
(B)
3
2
16
32^{16}
3
2
16
\newline
(C)
3
2
4
32^4
3
2
4
\newline
(D)
3
2
8
32^8
3
2
8
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Which expression is equivalent to
(
1
0
9
)
6
(10^9)^6
(
1
0
9
)
6
?
\newline
Choices:
\newline
(A)
1
1
0
15
\frac{1}{10^{15}}
1
0
15
1
\newline
(B)
1
1
0
54
\frac{1}{10^{54}}
1
0
54
1
\newline
(C)
1
0
15
10^{15}
1
0
15
\newline
(D)
1
0
54
10^{54}
1
0
54
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Which expression is equivalent to
6
9
×
6
4
6^9 \times 6^4
6
9
×
6
4
?
\newline
Choices:
\newline
(A)
6
13
6^{13}
6
13
\newline
(B)
1
6
13
\frac{1}{6^{13}}
6
13
1
\newline
(C)
1
6
36
\frac{1}{6^{36}}
6
36
1
\newline
(D)
6
36
6^{36}
6
36
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Which expression is equivalent to
2
p
+
2
p
2p + 2p
2
p
+
2
p
?
\newline
Choices:
\newline
(A)
5
p
5p
5
p
\newline
(B)
4
p
4p
4
p
\newline
(C)
p
4
p^4
p
4
\newline
(D)
p
+
4
p + 4
p
+
4
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Which expression is equivalent to
2
n
+
8
n
2n + 8n
2
n
+
8
n
?
\newline
Choices:
\newline
(A)
9
n
9n
9
n
\newline
(B)
10
n
10n
10
n
\newline
(C)
n
10
n^{10}
n
10
\newline
(D)
n
+
10
n + 10
n
+
10
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Which expression is equivalent to
4
s
+
8
s
4s + 8s
4
s
+
8
s
?
\newline
Choices:
\newline
(A)
s
12
s^{12}
s
12
\newline
(B)
11
s
11s
11
s
\newline
(C)
s
+
12
s + 12
s
+
12
\newline
(D)
12
s
12s
12
s
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Which expression is equivalent to
9
y
+
y
9y + y
9
y
+
y
?
\newline
Choices:
\newline
(A)
9
y
9y
9
y
\newline
(B)
10
y
10y
10
y
\newline
(C)
y
+
10
y + 10
y
+
10
\newline
(D)
y
10
y^{10}
y
10
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Which expression is equivalent to
7
w
+
5
w
7w + 5w
7
w
+
5
w
?
\newline
Choices:
\newline
(A)
w
+
12
w + 12
w
+
12
\newline
(B)
11
w
11w
11
w
\newline
(C)
12
w
12w
12
w
\newline
(D)
w
12
w^{12}
w
12
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Which expression is equivalent to
3
s
+
7
s
3s + 7s
3
s
+
7
s
?
\newline
Choices:
\newline
(A)
10
s
10s
10
s
\newline
(B)
9
s
9s
9
s
\newline
(C)
s
+
10
s + 10
s
+
10
\newline
(D)
s
10
s^{10}
s
10
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Which expression is equivalent to
3
m
+
3
m
3m + 3m
3
m
+
3
m
?
\newline
Choices:
\newline
(A)
m
6
m^6
m
6
\newline
(B)
m
+
6
m + 6
m
+
6
\newline
(C)
5
m
5m
5
m
\newline
(D)
6
m
6m
6
m
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Which expression is equivalent to
4
x
+
7
x
4x + 7x
4
x
+
7
x
?
\newline
Choices:
\newline
(A)
10
x
10x
10
x
\newline
(B)
11
x
11x
11
x
\newline
(C)
x
11
x^{11}
x
11
\newline
(D)
x
+
11
x + 11
x
+
11
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Which expression is equivalent to
2
h
+
9
h
2h + 9h
2
h
+
9
h
?
\newline
Choices:
\newline
(A)
h
+
11
h + 11
h
+
11
\newline
(B)
h
11
h^{11}
h
11
\newline
(C)
12
h
12h
12
h
\newline
(D)
11
h
11h
11
h
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Which expression is equivalent to
8
p
+
3
p
8p + 3p
8
p
+
3
p
?
\newline
Choices:
\newline
(A)
p
11
p^{11}
p
11
\newline
(B)
p
+
11
p + 11
p
+
11
\newline
(C)
11
p
11p
11
p
\newline
(D)
12
p
12p
12
p
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