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Math Problems
Algebra 1
Identify equivalent exponential expressions I
Which expression is equivalent to
1
0
3
×
4
3
10^3 \times 4^3
1
0
3
×
4
3
?
\newline
Choices:
\newline
(A)
1
4
0
3
\frac{1}{40^3}
4
0
3
1
\newline
(B)
4
0
6
40^6
4
0
6
\newline
(C)
4
0
9
40^9
4
0
9
\newline
(D)
4
0
3
40^3
4
0
3
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Which expression is equivalent to
(
1
1
4
)
7
(11^4)^7
(
1
1
4
)
7
?
\newline
Choices:
\newline
(A)
1
1
1
11
\frac{1}{11^{11}}
1
1
11
1
\newline
(B)
1
1
1
28
\frac{1}{11^{28}}
1
1
28
1
\newline
(C)
1
1
11
11^{11}
1
1
11
\newline
(D)
1
1
28
11^{28}
1
1
28
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Which expression is equivalent to
7
30
7
2
\frac{7^{30}}{7^2}
7
2
7
30
?
\newline
Choices:
\newline
(A)
1
7
15
\frac{1}{7^{15}}
7
15
1
\newline
(B)
7
15
7^{15}
7
15
\newline
(C)
7
28
7^{28}
7
28
\newline
(D)
7
32
7^{32}
7
32
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Which expression is equivalent to
4
3
×
5
3
4^3 \times 5^3
4
3
×
5
3
?
\newline
Choices:
\newline
(A)
2
0
3
20^3
2
0
3
\newline
(B)
1
2
0
3
\frac{1}{20^3}
2
0
3
1
\newline
(C)
2
0
9
20^9
2
0
9
\newline
(D)
2
0
6
20^6
2
0
6
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Which expression is equivalent to
3
5
×
2
5
3^5 \times 2^5
3
5
×
2
5
?
\newline
Choices:
\newline
(A)
6
10
6^{10}
6
10
\newline
(B)
6
5
6^5
6
5
\newline
(C)
6
25
6^{25}
6
25
\newline
(D)
1
6
5
\frac{1}{6^5}
6
5
1
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Which expression is equivalent to
7
6
×
7
2
7^6 \times 7^2
7
6
×
7
2
?
\newline
Choices:
\newline
(A)
1
7
12
\frac{1}{7^{12}}
7
12
1
\newline
(B)
7
8
7^8
7
8
\newline
(C)
7
12
7^{12}
7
12
\newline
(D)
1
7
8
\frac{1}{7^8}
7
8
1
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Which expression is equivalent to
(
2
9
)
8
(2^9)^8
(
2
9
)
8
?
\newline
Choices:
\newline
(A)
1
2
72
\frac{1}{2^{72}}
2
72
1
\newline
(B)
1
2
17
\frac{1}{2^{17}}
2
17
1
\newline
(C)
2
72
2^{72}
2
72
\newline
(D)
2
17
2^{17}
2
17
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Which expression is equivalent to
(
9
2
)
6
(9^2)^6
(
9
2
)
6
?
\newline
Choices:
\newline
(A)
1
9
8
\frac{1}{9^8}
9
8
1
\newline
(B)
9
12
9^{12}
9
12
\newline
(C)
1
9
12
\frac{1}{9^{12}}
9
12
1
\newline
(D)
9
8
9^8
9
8
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Which expression is equivalent to
5
4
×
5
5^4 \times 5
5
4
×
5
?
\newline
Choices:
\newline
(A)
5
5
5^5
5
5
\newline
(B)
5
4
5^4
5
4
\newline
(C)
1
5
5
\frac{1}{5^5}
5
5
1
\newline
(D)
1
5
4
\frac{1}{5^4}
5
4
1
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Which expression is equivalent to
8
3
×
8
7
8^3 \times 8^7
8
3
×
8
7
?
\newline
Choices:
\newline
(A)
8
10
8^{10}
8
10
\newline
(B)
1
8
21
\frac{1}{8^{21}}
8
21
1
\newline
(C)
1
8
10
\frac{1}{8^{10}}
8
10
1
\newline
(D)
8
21
8^{21}
8
21
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Which expression is equivalent to
7
5
×
6
5
7^5 \times 6^5
7
5
×
6
5
?
\newline
Choices:
\newline
(A)
1
4
2
5
\frac{1}{42^5}
4
2
5
1
\newline
(B)
4
2
25
42^{25}
4
2
25
\newline
(C)
4
2
5
42^5
4
2
5
\newline
(D)
4
2
10
42^{10}
4
2
10
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Which expression is equivalent to
(
1
0
3
)
8
(10^3)^8
(
1
0
3
)
8
?
\newline
Choices:
\newline
(A)
1
1
0
24
\frac{1}{10^{24}}
1
0
24
1
\newline
(B)
1
0
24
10^{24}
1
0
24
\newline
(C)
1
0
11
10^{11}
1
0
11
\newline
(D)
1
1
0
11
\frac{1}{10^{11}}
1
0
11
1
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Which expression is equivalent to
7
3
×
1
0
3
7^3 \times 10^3
7
3
×
1
0
3
?
\newline
Choices:
\newline
(A)
7
0
9
70^9
7
0
9
\newline
(B)
1
7
0
3
\frac{1}{70^3}
7
0
3
1
\newline
(C)
7
0
3
70^3
7
0
3
\newline
(D)
7
0
6
70^6
7
0
6
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Which expression is equivalent to
8
8
×
8
3
8^8 \times 8^3
8
8
×
8
3
?
\newline
Choices:
\newline
(A)
8
11
8^{11}
8
11
\newline
(B)
8
24
8^{24}
8
24
\newline
(C)
1
8
24
\frac{1}{8^{24}}
8
24
1
\newline
(D)
1
8
11
\frac{1}{8^{11}}
8
11
1
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Which expression is equivalent to
(
4
6
)
2
(4^6)^2
(
4
6
)
2
?
\newline
Choices:
\newline
(A)
1
4
8
\frac{1}{4^8}
4
8
1
\newline
(B)
4
12
4^{12}
4
12
\newline
(C)
4
8
4^8
4
8
\newline
(D)
1
4
12
\frac{1}{4^{12}}
4
12
1
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Select all the expressions that are equivalent to
5
25
/
5
5^{25}/5
5
25
/5
.
\newline
Multi-select Choices:
\newline
(A)
5
24
5^{24}
5
24
\newline
(B)
1
/
5
25
1/5^{25}
1/
5
25
\newline
(C)
5
25
5^{25}
5
25
\newline
(D)
5
26
5^{26}
5
26
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Which expression is equivalent to
(
3
6
)
9
(3^6)^9
(
3
6
)
9
?
\newline
Choices:
\newline
(A)
3
15
3^{15}
3
15
\newline
(B)
1
3
15
\frac{1}{3^{15}}
3
15
1
\newline
(C)
1
3
54
\frac{1}{3^{54}}
3
54
1
\newline
(D)
3
54
3^{54}
3
54
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Which expression is equivalent to
9
6
×
9
4
9^6 \times 9^4
9
6
×
9
4
?
\newline
Choices:
\newline
(A)
1
9
10
\frac{1}{9^{10}}
9
10
1
\newline
(B)
9
10
9^{10}
9
10
\newline
(C)
9
24
9^{24}
9
24
\newline
(D)
1
9
24
\frac{1}{9^{24}}
9
24
1
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Which expression is equivalent to
(
1
1
3
)
7
(11^3)^7
(
1
1
3
)
7
?
\newline
Choices:
\newline
(A)
1
1
10
11^{10}
1
1
10
\newline
(B)
1
1
1
10
\frac{1}{11^{10}}
1
1
10
1
\newline
(C)
1
1
21
11^{21}
1
1
21
\newline
(D)
1
1
1
21
\frac{1}{11^{21}}
1
1
21
1
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Which expression is equivalent to
1
1
7
×
1
1
3
11^7 \times 11^3
1
1
7
×
1
1
3
?
\newline
Choices:
\newline
(A)
1
1
1
21
\frac{1}{11^{21}}
1
1
21
1
\newline
(B)
1
1
21
11^{21}
1
1
21
\newline
(C)
1
1
10
11^{10}
1
1
10
\newline
(D)
1
1
1
10
\frac{1}{11^{10}}
1
1
10
1
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Which expression is equivalent to
(
1
1
1
)
4
(11^1)^4
(
1
1
1
)
4
?
\newline
Choices:
\newline
(A)
1
1
4
11^4
1
1
4
\newline
(B)
1
1
1
5
\frac{1}{11^5}
1
1
5
1
\newline
(C)
1
1
1
4
\frac{1}{11^4}
1
1
4
1
\newline
(D)
1
1
5
11^5
1
1
5
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Which expression is equivalent to
(
2
7
)
6
(2^7)^6
(
2
7
)
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
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Which expression is equivalent to
5
2
×
5
4
5^2 \times 5^4
5
2
×
5
4
?
\newline
Choices:
\newline
(A)
5
6
5^6
5
6
\newline
(B)
1
5
6
\frac{1}{5^6}
5
6
1
\newline
(C)
5
8
5^8
5
8
\newline
(D)
1
5
8
\frac{1}{5^8}
5
8
1
Get tutor help
Which expression is equivalent to
3
6
×
7
6
3^6 \times 7^6
3
6
×
7
6
?
\newline
Choices:
\newline
(A)
1
2
1
6
\frac{1}{21^6}
2
1
6
1
\newline
(B)
2
1
36
21^{36}
2
1
36
\newline
(C)
2
1
12
21^{12}
2
1
12
\newline
(D)
2
1
6
21^6
2
1
6
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Which expression is equivalent to
(
3
6
)
4
(3^6)^4
(
3
6
)
4
?
\newline
Choices:
\newline
(A)
1
3
10
\frac{1}{3^{10}}
3
10
1
\newline
(B)
3
10
3^{10}
3
10
\newline
(C)
1
3
24
\frac{1}{3^{24}}
3
24
1
\newline
(D)
3
24
3^{24}
3
24
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Which expression is equivalent to
(
9
4
)
3
(9^4)^3
(
9
4
)
3
?
\newline
Choices:
\newline
(A)
1
9
12
\frac{1}{9^{12}}
9
12
1
\newline
(B)
1
9
7
\frac{1}{9^7}
9
7
1
\newline
(C)
9
12
9^{12}
9
12
\newline
(D)
9
7
9^7
9
7
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Which expression is equivalent to
5
9
×
5
7
5^9 \times 5^7
5
9
×
5
7
?
\newline
Choices:
\newline
(A)
5
63
5^{63}
5
63
\newline
(B)
1
5
63
\frac{1}{5^{63}}
5
63
1
\newline
(C)
5
16
5^{16}
5
16
\newline
(D)
1
5
16
\frac{1}{5^{16}}
5
16
1
Get tutor help
Which expression is equivalent to
7
8
×
7
4
7^8 \times 7^4
7
8
×
7
4
?
\newline
Choices:
\newline
(A)
7
12
7^{12}
7
12
\newline
(B)
1
7
12
\frac{1}{7^{12}}
7
12
1
\newline
(C)
7
32
7^{32}
7
32
\newline
(D)
1
7
32
\frac{1}{7^{32}}
7
32
1
Get tutor help
Which expression is equivalent to
(
9
7
)
3
(9^7)^3
(
9
7
)
3
?
\newline
Choices:
\newline
(A)
1
9
10
\frac{1}{9^{10}}
9
10
1
\newline
(B)
1
9
21
\frac{1}{9^{21}}
9
21
1
\newline
(C)
9
10
9^{10}
9
10
\newline
(D)
9
21
9^{21}
9
21
Get tutor help
Which expression is equivalent to
5
8
5
8
\frac{5^8}{5^8}
5
8
5
8
?
\newline
Choices:
\newline
(A)
1
1
1
\newline
(B)
5
16
5^{16}
5
16
\newline
(C)
1
5
\frac{1}{5}
5
1
\newline
(D)
5
5
5
Get tutor help
Which expression is equivalent to
7
4
×
3
4
7^4 \times 3^4
7
4
×
3
4
?
\newline
Choices:
\newline
(A)
1
2
1
4
\frac{1}{21^4}
2
1
4
1
\newline
(B)
2
1
4
21^4
2
1
4
\newline
(C)
2
1
16
21^{16}
2
1
16
\newline
(D)
2
1
8
21^8
2
1
8
Get tutor help
Which expression is equivalent to
7
5
×
2
5
7^5 \times 2^5
7
5
×
2
5
?
\newline
Choices:
\newline
(A)
1
4
25
14^{25}
1
4
25
\newline
(B)
1
4
10
14^{10}
1
4
10
\newline
(C)
1
1
4
5
\frac{1}{14^5}
1
4
5
1
\newline
(D)
1
4
5
14^5
1
4
5
Get tutor help
Which expression is equivalent to
4
3
×
9
3
4^3 \times 9^3
4
3
×
9
3
?
\newline
Choices:
\newline
(A)
3
6
3
36^3
3
6
3
\newline
(B)
1
3
6
3
\frac{1}{36^3}
3
6
3
1
\newline
(C)
3
6
6
36^6
3
6
6
\newline
(D)
3
6
9
36^9
3
6
9
Get tutor help
Which expression is equivalent to
5
3
×
3
3
5^3 \times 3^3
5
3
×
3
3
?
\newline
Choices:
\newline
(A)
1
5
9
15^9
1
5
9
\newline
(B)
1
5
6
15^6
1
5
6
\newline
(C)
1
1
5
3
\frac{1}{15^3}
1
5
3
1
\newline
(D)
1
5
3
15^3
1
5
3
Get tutor help
Which expression is equivalent to
9
8
×
9
4
9^8 \times 9^4
9
8
×
9
4
?
\newline
Choices:
\newline
(A)
9
12
9^{12}
9
12
\newline
(B)
1
9
12
\frac{1}{9^{12}}
9
12
1
\newline
(C)
9
32
9^{32}
9
32
\newline
(D)
1
9
32
\frac{1}{9^{32}}
9
32
1
Get tutor help
Which expression is equivalent to
(
1
1
4
)
2
(11^4)^2
(
1
1
4
)
2
?
\newline
Choices:
\newline
(A)
1
1
1
6
\frac{1}{11^6}
1
1
6
1
\newline
(B)
1
1
6
11^6
1
1
6
\newline
(C)
1
1
1
8
\frac{1}{11^8}
1
1
8
1
\newline
(D)
1
1
8
11^8
1
1
8
Get tutor help
Which expression is equivalent to
8
6
×
9
6
8^6 \times 9^6
8
6
×
9
6
?
\newline
Choices:
\newline
(A)
1
7
2
6
\frac{1}{72^6}
7
2
6
1
\newline
(B)
7
2
12
72^{12}
7
2
12
\newline
(C)
7
2
6
72^6
7
2
6
\newline
(D)
7
2
36
72^{36}
7
2
36
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Which expression is equivalent to
3
5
×
2
5
3^5 \times 2^5
3
5
×
2
5
?
\newline
Choices:
\newline
(A)
1
6
5
\frac{1}{6^5}
6
5
1
\newline
(B)
6
10
6^{10}
6
10
\newline
(C)
6
5
6^5
6
5
\newline
(D)
6
25
6^{25}
6
25
Get tutor help
Which expression is equivalent to
(
5
9
)
3
(5^9)^3
(
5
9
)
3
?
\newline
Choices:
\newline
(A)
1
5
27
\frac{1}{5^{27}}
5
27
1
\newline
(B)
5
27
5^{27}
5
27
\newline
(C)
1
5
12
\frac{1}{5^{12}}
5
12
1
\newline
(D)
5
12
5^{12}
5
12
Get tutor help
Which expression is equivalent to
(
5
8
)
7
(5^8)^7
(
5
8
)
7
?
\newline
Choices:
\newline
(A)
1
5
15
\frac{1}{5^{15}}
5
15
1
\newline
(B)
5
15
5^{15}
5
15
\newline
(C)
5
56
5^{56}
5
56
\newline
(D)
1
5
56
\frac{1}{5^{56}}
5
56
1
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Which expression is equivalent to
(
7
8
)
7
(7^8)^7
(
7
8
)
7
?
\newline
Choices:
\newline
(A)
1
7
15
\frac{1}{7^{15}}
7
15
1
\newline
(B)
1
7
56
\frac{1}{7^{56}}
7
56
1
\newline
(C)
7
56
7^{56}
7
56
\newline
(D)
7
15
7^{15}
7
15
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Which expression is equivalent to
(
9
1
)
3
(9^1)^3
(
9
1
)
3
?
\newline
Choices:
\newline
(A)
1
9
3
\frac{1}{9^3}
9
3
1
\newline
(B)
9
4
9^4
9
4
\newline
(C)
1
9
4
\frac{1}{9^4}
9
4
1
\newline
(D)
9
3
9^3
9
3
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Which expression is equivalent to
(
1
1
3
)
1
(11^3)^1
(
1
1
3
)
1
?
\newline
Choices:
\newline
(A)
1
1
3
11^3
1
1
3
\newline
(B)
1
1
1
3
\frac{1}{11^3}
1
1
3
1
\newline
(C)
1
1
4
11^4
1
1
4
\newline
(D)
1
1
1
4
\frac{1}{11^4}
1
1
4
1
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Which expression is equivalent to
(
1
1
1
)
6
(11^1)^6
(
1
1
1
)
6
?
\newline
Choices:
\newline
(A)
1
1
7
11^7
1
1
7
\newline
(B)
1
1
1
7
\frac{1}{11^7}
1
1
7
1
\newline
(C)
1
1
6
11^6
1
1
6
\newline
(D)
1
1
1
6
\frac{1}{11^6}
1
1
6
1
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Which expression is equivalent to
(
7
4
)
6
(7^4)^6
(
7
4
)
6
?
\newline
Choices:
\newline
(A)
7
10
7^{10}
7
10
\newline
(B)
7
24
7^{24}
7
24
\newline
(C)
1
7
10
\frac{1}{7^{10}}
7
10
1
\newline
(D)
1
7
24
\frac{1}{7^{24}}
7
24
1
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Which expression is equivalent to
(
1
0
6
)
4
(10^6)^4
(
1
0
6
)
4
?
\newline
Choices:
\newline
(A)
1
1
0
24
\frac{1}{10^{24}}
1
0
24
1
\newline
(B)
1
0
24
10^{24}
1
0
24
\newline
(C)
1
1
0
10
\frac{1}{10^{10}}
1
0
10
1
\newline
(D)
1
0
10
10^{10}
1
0
10
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Which expression is equivalent to
5
4
×
5
8
5^4 \times 5^8
5
4
×
5
8
?
\newline
Choices:
\newline
(A)
1
5
32
\frac{1}{5^{32}}
5
32
1
\newline
(B)
5
32
5^{32}
5
32
\newline
(C)
5
12
5^{12}
5
12
\newline
(D)
1
5
12
\frac{1}{5^{12}}
5
12
1
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Which expression is equivalent to
(
4
4
)
8
(4^4)^8
(
4
4
)
8
?
\newline
Choices:
\newline
(A)
1
4
12
\frac{1}{4^{12}}
4
12
1
\newline
(B)
4
32
4^{32}
4
32
\newline
(C)
4
12
4^{12}
4
12
\newline
(D)
1
4
32
\frac{1}{4^{32}}
4
32
1
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Which expression is equivalent to
4
m
+
2
m
4m + 2m
4
m
+
2
m
?
\newline
Choices:
\newline
(A)
6
m
6m
6
m
\newline
(B)
5
m
5m
5
m
\newline
(C)
m
6
m^6
m
6
\newline
(D)
m
+
6
m + 6
m
+
6
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Which of the following expressions is equivalent to
3
2
16
4
\sqrt[4]{32^{16}}
4
3
2
16
?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
20
2^{20}
2
20
\newline
(B)
2
625
2^{625}
2
625
\newline
(C)
3
2
2
32^{2}
3
2
2
\newline
(D)
3
2
12
32^{12}
3
2
12
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1
2
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