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WorksheetsChapter 9 Powers and Exponents
Total questions: 46
Worksheet time: 57mins
Name
Class
Date
1.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
2.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
3.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
5.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
6.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
7.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
8.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
9.
x⁵⁄x³
a)
x²
b)
x
c)
1
d)
x⁸
10.
(52)3
a)
56
b)
55
c)
57
d)
58
11.
Simplify: (3x2)3
a)
27x6
b)
9x6
c)
3x6
d)
9x5
12.
Simplify: (2x3y5)3
a)
8x9y15
b)
6x9y15
c)
2x9y15
d)
8x6y8
13.
Which of the following expressions is equivalent to (2x)3 ?
a)
(2x)(2x)(2x)
b)
2(x)(x)(x)
c)
2x + 2x + 2x
d)
2x⋅3
14.
Xm • Xn
a)
XMN
b)
XM+N
c)
Xm+n
15.
97•99
a)
916
b)
9979
c)
8116
16.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
17.
32x6 / 4x2
a)
8x4
b)
8x8
c)
6x4
d)
6x8
18.
30y12 / 15y2
a)
2y24
b)
210
c)
2y10
d)
2y14
19.
Simplify (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
20.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
21.
Simplify:
(5ab2)2
(5ab2)2
a)
25a2b4
b)
10a2b4
c)
5a2b4
d)
25ab2
22.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
23.
Which simplifies as x15?
a)
(x3)5
b)
x2 · x10· x2
c)
x-2 · x15
d)
(x5)10
24.
Simplify.
x-4
x-4
a)
1/x4
b)
4/x4
c)
-4x
d)
-x4
25.
Simplify.
x2 · x -4
x2 · x -4
a)
1/x2
b)
1/x-2
c)
1/x4
d)
x2
26.
Simplify.
(x4)-3
(x4)-3
a)
x-7
b)
1/x12
c)
x1
d)
x-1
27.
159÷153 =
a)
156
b)
1512
c)
16
d)
112
28.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
29.
Evaluate the expression using the quotient rule.
a)
122
b)
130
c)
622
d)
630
30.
which number below is NOT prime?
a)
7
b)
4
c)
2
d)
3
31.
Prime numbers have:
a)
Exactly 2 factors
b)
2 pairs of factors
c)
More than 2 factors
d)
1 factor
32.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
33.
Find the prime number
a)
10
b)
9
c)
7
d)
4
34.
True or False
2 is a COMPOSITE number.
2 is a COMPOSITE number.
a)
TRUE
b)
FALSE
35.
Which number listed below is a prime number?
a)
1
b)
37
c)
63
d)
33
36.
True or False: 36 is a Composite number
a)
True
b)
False
37.
True or False: 60 is a Composite number
a)
True
b)
False
38.
True or False: 63 is a Prime number
a)
True
b)
False
39.
True or False: 45 is a Prime number
a)
True
b)
False
40.
2 x 2 x 2 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
41.
Which is the prime factorization of 12?
a)
2 x 6
b)
2 + 2 + 2 + 2 + 2 + 2
c)
2 x 2 x 3
d)
1 x 2 x 2 x 3
42.
What is the prime factorization of 16?
a)
1 x 16
b)
2 x 2 x 4
c)
2 x 2 x 2 x 2
d)
8 + 8
43.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x2x2x3
c)
3x2x2x2x2
d)
12x4
44.
Use a number tree to find the prime factorization of 72
a)
2x2x2x3x3
b)
4x3x3x2
c)
4x2x2x2x2
45.
Use a number tree to find the prime factorization of 111
a)
33x3
b)
11x3x3
c)
37x3
d)
9x4x3x1
46.
Use a number tree to find the prime factorization of 105
a)
7x5x3
b)
11x5x3
c)
7x5x2x1
d)
7x5x3x2
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