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Math Problems
Grade 8
Identify equivalent expressions involving exponents I
Which expression is equivalent to
2
d
+
4
d
2d + 4d
2
d
+
4
d
?
\newline
Choices:
\newline
(A)
d
+
6
d + 6
d
+
6
\newline
(B)
7
d
7d
7
d
\newline
(C)
d
6
d^6
d
6
\newline
(D)
6
d
6d
6
d
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Which expression is equivalent to
9
u
+
u
9u + u
9
u
+
u
?
\newline
Choices:
\newline
(A)
10
u
10u
10
u
\newline
(B)
11
u
11u
11
u
\newline
(C)
u
+
10
u + 10
u
+
10
\newline
(D)
u
10
u^{10}
u
10
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Which expression is equivalent to
9
h
+
5
h
9h + 5h
9
h
+
5
h
?
\newline
Choices:
\newline
(A)
14
h
14h
14
h
\newline
(B)
15
h
15h
15
h
\newline
(C)
h
+
14
h + 14
h
+
14
\newline
(D)
h
14
h^{14}
h
14
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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)
s
10
s^{10}
s
10
\newline
(C)
11
s
11s
11
s
\newline
(D)
s
+
10
s + 10
s
+
10
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Which expression is equivalent to
4
n
+
8
n
4n + 8n
4
n
+
8
n
?
\newline
Choices:
\newline
(A)
12
n
12n
12
n
\newline
(B)
n
12
n^{12}
n
12
\newline
(C)
n
+
12
n + 12
n
+
12
\newline
(D)
11
n
11n
11
n
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Which expression is equivalent to
3
9
×
3
2
3^9 \times 3^2
3
9
×
3
2
?
\newline
Choices:
\newline
(A)
1
3
11
\frac{1}{3^{11}}
3
11
1
\newline
(B)
1
3
18
\frac{1}{3^{18}}
3
18
1
\newline
(C)
3
11
3^{11}
3
11
\newline
(D)
3
18
3^{18}
3
18
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Which expression is equivalent to
8
8
×
8
5
8^8 \times 8^5
8
8
×
8
5
?
\newline
Choices:
\newline
(A)
1
8
13
\frac{1}{8^{13}}
8
13
1
\newline
(B)
8
40
8^{40}
8
40
\newline
(C)
1
8
40
\frac{1}{8^{40}}
8
40
1
\newline
(D)
8
13
8^{13}
8
13
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Which expression is equivalent to
4
4
×
4
4
4^4 \times 4^4
4
4
×
4
4
?
\newline
Choices:
\newline
(A)
1
4
8
\frac{1}{4^8}
4
8
1
\newline
(B)
1
4
16
\frac{1}{4^{16}}
4
16
1
\newline
(C)
4
16
4^{16}
4
16
\newline
(D)
4
8
4^8
4
8
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Which expression is equivalent to
(
2
6
)
6
(2^6)^6
(
2
6
)
6
?
\newline
Choices:
\newline
(A)
2
36
2^{36}
2
36
\newline
(B)
2
12
2^{12}
2
12
\newline
(C)
1
2
36
\frac{1}{2^{36}}
2
36
1
\newline
(D)
1
2
12
\frac{1}{2^{12}}
2
12
1
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Which expression is equivalent to
8
5
×
4
5
8^5 \times 4^5
8
5
×
4
5
?
\newline
Choices:
\newline
(A)
1
3
2
5
\frac{1}{32^5}
3
2
5
1
\newline
(B)
3
2
25
32^{25}
3
2
25
\newline
(C)
3
2
5
32^5
3
2
5
\newline
(D)
3
2
10
32^{10}
3
2
10
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Which expression is equivalent to
9
9
×
9
6
9^9 \times 9^6
9
9
×
9
6
?
\newline
Choices:
\newline
(A)
1
9
15
\frac{1}{9^{15}}
9
15
1
\newline
(B)
1
9
54
\frac{1}{9^{54}}
9
54
1
\newline
(C)
9
54
9^{54}
9
54
\newline
(D)
9
15
9^{15}
9
15
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Which expression is equivalent to
1
0
6
×
7
6
10^6 \times 7^6
1
0
6
×
7
6
?
\newline
Choices:
\newline
(A)
1
7
0
6
\frac{1}{70^6}
7
0
6
1
\newline
(B)
7
0
6
70^6
7
0
6
\newline
(C)
7
0
12
70^{12}
7
0
12
\newline
(D)
7
0
36
70^{36}
7
0
36
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Which expression is equivalent to
1
1
4
×
1
1
4
11^4 \times 11^4
1
1
4
×
1
1
4
?
\newline
Choices:
\newline
(A)
1
1
16
11^{16}
1
1
16
\newline
(B)
1
1
1
8
\frac{1}{11^8}
1
1
8
1
\newline
(C)
1
1
1
16
\frac{1}{11^{16}}
1
1
16
1
\newline
(D)
1
1
8
11^8
1
1
8
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Which expression is equivalent to
7
6
×
2
6
7^6 \times 2^6
7
6
×
2
6
?
\newline
Choices:
\newline
(A)
1
1
4
6
\frac{1}{14^6}
1
4
6
1
\newline
(B)
1
4
6
14^6
1
4
6
\newline
(C)
1
4
12
14^{12}
1
4
12
\newline
(D)
1
4
36
14^{36}
1
4
36
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Which expression is equivalent to
(
3
1
)
9
(3^1)^9
(
3
1
)
9
?
\newline
Choices:
\newline
(A)
1
3
10
\frac{1}{3^{10}}
3
10
1
\newline
(B)
1
3
9
\frac{1}{3^9}
3
9
1
\newline
(C)
3
9
3^9
3
9
\newline
(D)
3
10
3^{10}
3
10
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Which expression is equivalent to
6
6
×
6
6
6^6 \times 6^6
6
6
×
6
6
?
\newline
Choices:
\newline
(A)
6
12
6^{12}
6
12
\newline
(B)
1
6
12
\frac{1}{6^{12}}
6
12
1
\newline
(C)
6
36
6^{36}
6
36
\newline
(D)
1
6
36
\frac{1}{6^{36}}
6
36
1
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Which expression is equivalent to
(
5
6
)
6
(5^6)^6
(
5
6
)
6
?
\newline
Choices:
\newline
(A)
5
36
5^{36}
5
36
\newline
(B)
1
5
12
\frac{1}{5^{12}}
5
12
1
\newline
(C)
5
12
5^{12}
5
12
\newline
(D)
1
5
36
\frac{1}{5^{36}}
5
36
1
Get tutor help
Which expression is equivalent to
(
7
4
)
1
(7^4)^1
(
7
4
)
1
?
\newline
Choices:
\newline
(A)
7
4
7^4
7
4
\newline
(B)
7
5
7^5
7
5
\newline
(C)
1
7
4
\frac{1}{7^4}
7
4
1
\newline
(D)
1
7
5
\frac{1}{7^5}
7
5
1
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Which expression is equivalent to
2
7
×
2
2
2^7 \times 2^2
2
7
×
2
2
?
\newline
Choices:
\newline
(A)
1
2
9
\frac{1}{2^9}
2
9
1
\newline
(B)
2
9
2^9
2
9
\newline
(C)
2
14
2^{14}
2
14
\newline
(D)
1
2
14
\frac{1}{2^{14}}
2
14
1
Get tutor help
Which expression is equivalent to
(
5
2
)
1
(5^2)^1
(
5
2
)
1
?
\newline
Choices:
\newline
(A)
5
2
5^2
5
2
\newline
(B)
1
5
2
\frac{1}{5^2}
5
2
1
\newline
(C)
1
5
3
\frac{1}{5^3}
5
3
1
\newline
(D)
5
3
5^3
5
3
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Which expression is equivalent to
3
6
×
9
6
3^6 \times 9^6
3
6
×
9
6
?
\newline
Choices:
\newline
(A)
2
7
6
27^6
2
7
6
\newline
(B)
1
2
7
6
\frac{1}{27^6}
2
7
6
1
\newline
(C)
2
7
12
27^{12}
2
7
12
\newline
(D)
2
7
36
27^{36}
2
7
36
Get tutor help
Which expression is equivalent to
6
4
×
1
0
4
6^4 \times 10^4
6
4
×
1
0
4
?
\newline
Choices:
\newline
(A)
1
6
0
4
\frac{1}{60^4}
6
0
4
1
\newline
(B)
6
0
8
60^8
6
0
8
\newline
(C)
6
0
16
60^{16}
6
0
16
\newline
(D)
6
0
4
60^4
6
0
4
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Which expression is equivalent to
7
3
×
7
3
7^3 \times 7^3
7
3
×
7
3
?
\newline
Choices:
\newline
(A)
7
9
7^9
7
9
\newline
(B)
1
7
6
\frac{1}{7^6}
7
6
1
\newline
(C)
7
6
7^6
7
6
\newline
(D)
1
7
9
\frac{1}{7^9}
7
9
1
Get tutor help
Which expression is equivalent to
3
5
×
3
9
3^5 \times 3^9
3
5
×
3
9
?
\newline
Choices:
\newline
(A)
3
45
3^{45}
3
45
\newline
(B)
1
3
45
\frac{1}{3^{45}}
3
45
1
\newline
(C)
3
14
3^{14}
3
14
\newline
(D)
1
3
14
\frac{1}{3^{14}}
3
14
1
Get tutor help
Which expression is equivalent to
1
0
6
×
5
6
10^6 \times 5^6
1
0
6
×
5
6
?
\newline
Choices:
\newline
(A)
5
0
12
50^{12}
5
0
12
\newline
(B)
1
5
0
6
\frac{1}{50^6}
5
0
6
1
\newline
(C)
5
0
6
50^6
5
0
6
\newline
(D)
5
0
36
50^{36}
5
0
36
Get tutor help
Which expression is equivalent to
7
4
×
2
4
7^4 \times 2^4
7
4
×
2
4
?
\newline
Choices:
\newline
(A)
1
4
4
14^4
1
4
4
\newline
(B)
1
4
8
14^8
1
4
8
\newline
(C)
1
1
4
4
\frac{1}{14^4}
1
4
4
1
\newline
(D)
1
4
16
14^{16}
1
4
16
Get tutor help
Which expression is equivalent to
3
6
×
3
8
3^6 \times 3^8
3
6
×
3
8
?
\newline
Choices:
\newline
(A)
3
48
3^{48}
3
48
\newline
(B)
1
3
48
\frac{1}{3^{48}}
3
48
1
\newline
(C)
3
14
3^{14}
3
14
\newline
(D)
1
3
14
\frac{1}{3^{14}}
3
14
1
Get tutor help
Which expression is equivalent to
2
7
×
2
6
2^7 \times 2^6
2
7
×
2
6
?
\newline
Choices:
\newline
(A)
2
13
2^{13}
2
13
\newline
(B)
1
2
42
\frac{1}{2^{42}}
2
42
1
\newline
(C)
1
2
13
\frac{1}{2^{13}}
2
13
1
\newline
(D)
2
42
2^{42}
2
42
Get tutor help
Which expression is equivalent to
6
2
×
6
9
6^2 \times 6^9
6
2
×
6
9
?
\newline
Choices:
\newline
(A)
1
6
18
\frac{1}{6^{18}}
6
18
1
\newline
(B)
6
18
6^{18}
6
18
\newline
(C)
6
11
6^{11}
6
11
\newline
(D)
1
6
11
\frac{1}{6^{11}}
6
11
1
Get tutor help
Which expression is equivalent to
3
6
×
6
6
3^6 \times 6^6
3
6
×
6
6
?
\newline
Choices:
\newline
(A)
1
1
8
6
\frac{1}{18^6}
1
8
6
1
\newline
(B)
1
8
12
18^{12}
1
8
12
\newline
(C)
1
8
6
18^6
1
8
6
\newline
(D)
1
8
36
18^{36}
1
8
36
Get tutor help
Which expression is equivalent to
(
6
4
)
9
(6^4)^9
(
6
4
)
9
?
\newline
Choices:
\newline
(A)
6
13
6^{13}
6
13
\newline
(B)
1
6
36
\frac{1}{6^{36}}
6
36
1
\newline
(C)
1
6
13
\frac{1}{6^{13}}
6
13
1
\newline
(D)
6
36
6^{36}
6
36
Get tutor help
Which expression is equivalent to
1
2
2
×
1
2
4
12^2 \times 12^4
1
2
2
×
1
2
4
?
\newline
Choices:
\newline
(A)
1
1
2
6
\frac{1}{12^6}
1
2
6
1
\newline
(B)
1
1
2
8
\frac{1}{12^8}
1
2
8
1
\newline
(C)
1
2
8
12^8
1
2
8
\newline
(D)
1
2
6
12^6
1
2
6
Get tutor help
Which expression is equivalent to
(
4
2
)
8
(4^2)^8
(
4
2
)
8
?
\newline
Choices:
\newline
(A)
4
16
4^{16}
4
16
\newline
(B)
1
4
16
\frac{1}{4^{16}}
4
16
1
\newline
(C)
4
10
4^{10}
4
10
\newline
(D)
1
4
10
\frac{1}{4^{10}}
4
10
1
Get tutor help
Which expression is equivalent to
2
×
2
2
2 \times 2^2
2
×
2
2
?
\newline
Choices:
\newline
(A)
1
2
3
\frac{1}{2^3}
2
3
1
\newline
(B)
2
3
2^3
2
3
\newline
(C)
2
2
2^2
2
2
\newline
(D)
1
2
2
\frac{1}{2^2}
2
2
1
Get tutor help
Which expression is equivalent to
(
3
4
)
5
(3^4)^5
(
3
4
)
5
?
\newline
Choices:
\newline
(A)
1
3
9
\frac{1}{3^9}
3
9
1
\newline
(B)
3
9
3^9
3
9
\newline
(C)
3
20
3^{20}
3
20
\newline
(D)
1
3
20
\frac{1}{3^{20}}
3
20
1
Get tutor help
Which expression is equivalent to
2
3
×
2
8
2^3 \times 2^8
2
3
×
2
8
?
\newline
Choices:
\newline
(A)
2
24
2^{24}
2
24
\newline
(B)
1
2
24
\frac{1}{2^{24}}
2
24
1
\newline
(C)
1
2
11
\frac{1}{2^{11}}
2
11
1
\newline
(D)
2
11
2^{11}
2
11
Get tutor help
Which expression is equivalent to
4
6
×
9
6
4^6 \times 9^6
4
6
×
9
6
?
\newline
Choices:
\newline
(A)
3
6
12
36^{12}
3
6
12
\newline
(B)
3
6
36
36^{36}
3
6
36
\newline
(C)
3
6
6
36^6
3
6
6
\newline
(D)
1
/
3
6
6
1/36^6
1/3
6
6
Get tutor help
Which expression is equivalent to
2
7
×
2
3
2^7 \times 2^3
2
7
×
2
3
?
\newline
Choices:
\newline
(A)
1
2
21
\frac{1}{2^{21}}
2
21
1
\newline
(B)
2
10
2^{10}
2
10
\newline
(C)
1
2
10
\frac{1}{2^{10}}
2
10
1
\newline
(D)
2
21
2^{21}
2
21
Get tutor help
Which expression is equivalent to
6
6
×
1
0
6
6^6 \times 10^6
6
6
×
1
0
6
?
\newline
Choices:
\newline
(A)
1
6
0
6
\frac{1}{60^6}
6
0
6
1
\newline
(B)
6
0
12
60^{12}
6
0
12
\newline
(C)
6
0
36
60^{36}
6
0
36
\newline
(D)
6
0
6
60^6
6
0
6
Get tutor help
Which expression is equivalent to
(
2
7
)
6
(2^7)^6
(
2
7
)
6
?
\newline
Choices:
\newline
(A)
1
2
42
\frac{1}{2^{42}}
2
42
1
\newline
(B)
2
42
2^{42}
2
42
\newline
(C)
2
13
2^{13}
2
13
\newline
(D)
1
2
13
\frac{1}{2^{13}}
2
13
1
Get tutor help
Which expression is equivalent to
(
5
9
)
4
(5^9)^4
(
5
9
)
4
?
\newline
Choices:
\newline
(A)
5
13
5^{13}
5
13
\newline
(B)
1
5
13
\frac{1}{5^{13}}
5
13
1
\newline
(C)
1
5
36
\frac{1}{5^{36}}
5
36
1
\newline
(D)
5
36
5^{36}
5
36
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Which expression is equivalent to
(
3
2
)
1
(3^2)^1
(
3
2
)
1
?
\newline
Choices:
\newline
(A)
3
3
3^3
3
3
\newline
(B)
1
3
3
\frac{1}{3^3}
3
3
1
\newline
(C)
1
3
2
\frac{1}{3^2}
3
2
1
\newline
(D)
3
2
3^2
3
2
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Which expression is equivalent to
(
2
8
)
1
(2^8)^1
(
2
8
)
1
?
\newline
Choices:
\newline
(A)
1
2
9
\frac{1}{2^9}
2
9
1
\newline
(B)
1
2
8
\frac{1}{2^8}
2
8
1
\newline
(C)
2
8
2^8
2
8
\newline
(D)
2
9
2^9
2
9
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Which expression is equivalent to
3
2
×
3
4
3^2 \times 3^4
3
2
×
3
4
?
\newline
Choices:
\newline
(A)
3
8
3^8
3
8
\newline
(B)
1
3
6
\frac{1}{3^6}
3
6
1
\newline
(C)
3
6
3^6
3
6
\newline
(D)
1
3
8
\frac{1}{3^8}
3
8
1
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Which expression is equivalent to
4
7
×
4
4
4^7 \times 4^4
4
7
×
4
4
?
\newline
Choices:
\newline
(A)
4
11
4^{11}
4
11
\newline
(B)
1
4
11
\frac{1}{4^{11}}
4
11
1
\newline
(C)
4
28
4^{28}
4
28
\newline
(D)
1
4
28
\frac{1}{4^{28}}
4
28
1
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Which expression is equivalent to
6
8
×
6
7
6^8 \times 6^7
6
8
×
6
7
?
\newline
Choices:
\newline
(A)
1
6
15
\frac{1}{6^{15}}
6
15
1
\newline
(B)
1
6
56
\frac{1}{6^{56}}
6
56
1
\newline
(C)
6
56
6^{56}
6
56
\newline
(D)
6
15
6^{15}
6
15
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Which expression is equivalent to
9
4
×
4
4
9^4 \times 4^4
9
4
×
4
4
?
\newline
Choices:
\newline
(A)
3
6
8
36^8
3
6
8
\newline
(B)
3
6
4
36^4
3
6
4
\newline
(C)
1
/
3
6
4
1/36^4
1/3
6
4
\newline
(D)
3
6
16
36^{16}
3
6
16
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Which expression is equivalent to
(
7
9
)
2
(7^9)^2
(
7
9
)
2
?
\newline
Choices:
\newline
(A)
1
7
18
\frac{1}{7^{18}}
7
18
1
\newline
(B)
7
11
7^{11}
7
11
\newline
(C)
1
7
11
\frac{1}{7^{11}}
7
11
1
\newline
(D)
7
18
7^{18}
7
18
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Which expression is equivalent to
6
6
×
6
8
6^6 \times 6^8
6
6
×
6
8
?
\newline
Choices:
\newline
(A)
6
48
6^{48}
6
48
\newline
(B)
1
6
48
\frac{1}{6^{48}}
6
48
1
\newline
(C)
6
14
6^{14}
6
14
\newline
(D)
1
6
14
\frac{1}{6^{14}}
6
14
1
Get tutor help
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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1
2
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