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WorksheetsPower Laws Review
Total questions: 50
Worksheet time: 2hrs 49mins
Name
Class
Date
1.
Simplify the following:
x2x3
x2x3
a)
x3
b)
x2
c)
x6
d)
X5
2.
What is the value of:
2224
2224
a)
2
b)
4
c)
64
d)
256
3.
What is the value of:
(3/4)0
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
4.
Write the following as an exponent:
7x7x7x7x7
7x7x7x7x7
a)
75
b)
57
c)
77
d)
55
5.
Simplify the following:
(x3)6
(x3)6
a)
x9
b)
x18
c)
x6
d)
x3
6.
Simplify the following:
y6/y4
y6/y4
a)
y10
b)
y2
c)
y-2
d)
1/y2
7.
Simplify the following:
59/55
59/55
a)
514
b)
5
c)
54
d)
59
8.
Simplify the following:
x5x-2
x5x-2
a)
x3
b)
x7
c)
x-7
d)
x-3
9.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
10.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
11.
Division Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
12.
93 ⋅ 94 = 912
a)
True
b)
False
13.
What is the value of:
(23)3
(23)3
a)
1
b)
4
c)
64
d)
512
14.
Zero Exponent Law states that _____ becomes a 1.
a)
the exponent
b)
the base
c)
nothing
d)
the whole term
15.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
16.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
17.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
18.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
19.
(x/y)2
a)
x2/y2
b)
xy2
c)
x2y2
20.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
21.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
22.
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
23.
a)
y3/8
b)
y3/24
c)
y/24
d)
y3/83
24.
Simplify the following:
(3ab2)3
(3ab2)3
a)
27a3b6
b)
3ab6
c)
3a3b6
d)
27ab2
25.
Simplify the following:
(x2y)5
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
26.
Simplify: 10x8÷2x4
a)
5x2
b)
5x4
c)
8x4
d)
8x2
27.
a)
a8b13
b)
a2b7
c)
a15b30
d)
ab
28.
(3xy6)4
a)
81x5y10
b)
12x4y24
c)
81xy24
d)
81x4y24
29.
Which expression is equivalent?
a)
2x6y12
b)
8x2y4
c)
8x6y12
d)
8x5y7
30.
Distribute first, then multiply
6m3n3 ⋅ 6m2n3
6m3n3 ⋅ 6m2n3
a)
36m8n9
b)
63m8n9
c)
63m7n8
d)
36m5n6
31.
Simplify the expressions
(9x4y7)(2x2)(3x5y7)
(9x4y7)(2x2)(3x5y7)
a)
54x11y14
b)
54x11y7
c)
14x11y14
d)
54xy
32.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
33.
(9n4)(6n7)
a)
54n11
b)
15n11
c)
15n28
d)
54n28
34.
(a4b19c21d-14)0
a)
1
b)
0
c)
a4b19c21d-14
d)
a-4b-19c-21d14
35.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
36.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
37.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
38.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
39.
6x5y2 / 2x4y2
a)
3xy
b)
4x
c)
3x
d)
4xy
40.
Simplify (3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
x8y10
41.
(-4r3s5)0 (3b4c2d)
a)
1
b)
-12b4c2d
c)
3b4c2d
d)
0
42.
3.) Simplify
(45x6y2) / (5x4y9)
(45x6y2) / (5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
43.
(-8x10y9)2
a)
-16x20y18
b)
64x12y11
c)
64x20y18
d)
-16x12y11
44.
Select the equivalent expression
(h2j3)5
(h2j3)5
a)
hj30
b)
h7j8
c)
h10j15
d)
h2j15
45.
Which expression is equivalent to 1,000,000,0000
a)
−1,000,000,0000
b)
(−1,000,000,000)0
c)
1,000,000,000
d)
0
46.
43 times 46
a)
89
b)
43
c)
424
d)
49
47.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
48.
Simplify (-2a2b3)(-6a3b)
a)
-8a5b4
b)
-12a5b4
c)
12a6b3
d)
12a5b4
e)
-8a6b3
49.
Simplify (-3x5)3
a)
27x15
b)
-27x15
c)
-27x8
d)
-3x8
e)
-3x15
50.
Simplify (5g8b2) ⋅ (g4)2
a)
5g14b2
b)
g16b2
c)
5g64b16
d)
5g16b2
e)
5g16b10
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