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WorksheetsExponents Unit 10
Total questions: 77
Worksheet time: 5hrs 59mins
Name
Class
Date
1.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
2.
Simplify.
s-5 ⋅ s-2
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
3.
Simplify.
2x-5y7⋅3x-4y-2
2x-5y7⋅3x-4y-2
a)
6x9y9
b)
6y5/x9
c)
6/x9y5
d)
6/x9y9
4.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
5.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
6.
Rewrite using a positive exponent.
2w-13
2w-13
a)
-w13
b)
2/w13
c)
2/w-13
d)
2w13
7.
Rewrite using positive exponents and simplify.
a)
3t3
b)
3/t3
c)
6t3
d)
6/t3
8.
Simplify.
a)
y15
b)
y5
c)
y2
d)
2y5
9.
Simplify.
a)
x7
b)
1/x3
c)
x3
d)
1/x7
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
19.
7-2
a)
1/72 or 1/49
b)
-49
c)
-14
d)
1/7*2 or 1/14
20.
Which expression(s) are equivalent to 55 ?
54⋅50 54⋅51 54⋅52 56⋅5-1
54⋅50 54⋅51 54⋅52 56⋅5-1
a)
54⋅50 54⋅51
b)
54⋅51 54⋅52
c)
54⋅52 56⋅5-1
d)
54⋅51 56⋅5-1
21.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
infinity
22.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
23.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
24.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
25.
How would you change this to a positive exponent:
1/x-3
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
26.
(2⁸)²
a)
216
b)
210
c)
2⁶
d)
2⁴
27.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
28.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
29.
(-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
30.
(x3)5
a)
x15
b)
x8
c)
x2
d)
x243
31.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
32.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
33.
(x-4)3
a)
x12
b)
x-1
c)
1/x-1
d)
1/x12
34.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
35.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
36.
x0
a)
x
b)
0
c)
1
d)
Undefined
37.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
38.
a)
y3/8
b)
y3/24
c)
y/24
d)
y3/83
39.
a)
2v0
b)
2v
c)
1/2
d)
2
40.
Can you leave a negative exponent in your answer?
a)
YES
b)
NO
41.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
42.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
43.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
44.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
45.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
46.
Simplify (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
47.
Simplify (3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
x8y10
48.
Multiply and write your answer in scientific notation.
(5 x 106)(3 x 108)
a)
15 x 1014
b)
1.5 x 1014
c)
1.5 x 1015
d)
1.5 x 1013
49.
Find the product. (5.2 x 104) x (2.2 x 104).
a)
11.44 x 108
b)
11.44 x 1011
c)
1.144 x 109
d)
1.144 x 107
50.
Write in Scientific Notation 0.01567
a)
15.67 x 10-2
b)
1.567 x 102
c)
1.567 x 10-4
d)
1.567 x 10-2
51.
Write in standard form.
36 x 103
36 x 103
a)
3,600
b)
36,000
c)
36 x 10 x 10
d)
360
52.
UNDERSTANDING
If the exponent is a positive number...
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
53.
UNDERSTANDING
If the exponent is a negative number...
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
54.
Which is the largest?
4.8 x 10-6
3.1 x 10-4
9.2 x 10-5
5.9 x 10-5
4.8 x 10-6
3.1 x 10-4
9.2 x 10-5
5.9 x 10-5
a)
4.8 x 10-6
b)
3.1 x 10-4
c)
9.2 x 10-5
d)
5.9 x 10-5
55.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
56.
How would you write 4.3756 x 106 in standard form?
a)
4,375,600
b)
0.0043756
c)
437,560
d)
43,756
57.
Convert to proper scientific notation:
463.7×10⁻⁷
463.7×10⁻⁷
a)
0.00004637
b)
46.37×10⁻⁶
c)
4.637×10⁻⁹
d)
4.637×10⁻⁵
58.
Multiply & write your answer in scientific notation:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
59.
Convert to proper scientific notation:
0.00532 × 10⁸
0.00532 × 10⁸
a)
5.32×10⁵
b)
5.32×10¹¹
c)
0.532×10⁶
d)
532×10³
60.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
61.
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
62.
In 23 what is the base?
a)
2
b)
3
c)
23
63.
Expand -25
a)
-2 ⋅ 5
b)
(-2)⋅5
c)
-2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2
d)
(-2)(-2)(-2)(-2)(-2)
64.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
65.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
66.
a)
10x9
b)
24x14
c)
24x9
d)
10x14
67.
a)
x3y-6
b)
x3y6
c)
x3/y6
d)
x3/y-6
68.
a)
2xy2z
b)
-2y2z
c)
(2xy2)/z
d)
(2y2)/(3z)
69.
What do cows drink?
a)
milk
b)
fruit punch
c)
water
d)
tea
70.
How many months have 28 days?
a)
All
b)
Febuary
c)
March
d)
August
71.
What has a head and a tail but no body?
a)
Chris Brown
b)
Quarter
c)
Zebra
d)
Pencil
72.
a)
59
b)
529
c)
596
d)
515
73.
a)
A
b)
B
c)
C
d)
D
74.
a)
A
b)
B
c)
C
d)
D
75.
a)
A
b)
B
c)
C
d)
D
76.
a)
A
b)
B
c)
C
d)
D
77.
a)
A
b)
B
c)
C
d)
D
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