WorksheetsLaws of exponents
Total questions: 33
Worksheet time: 3hrs 45mins
Name
Class
Date
1.
Simplify: 4x5⋅6x10
a)
24x15
b)
10x15
c)
24x15
d)
10x15
2.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
3.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
4.
According to exponent rules, when we divide the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
5.
How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
a)
57
b)
56
c)
75
d)
5
6.
Simplify:
b2 ⋅ b4
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
7.
Simplify:
(x5)4
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
8.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
9.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
10.
(7x3)0
a)
1
b)
7
c)
21x3
d)
x10
11.
x5x8
a)
x3
b)
x31
c)
x13
d)
x40
12.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
13.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
14.
Write in exponent form.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
a)
77
b)
78
c)
87
d)
79
15.
Find the value (standard form) of the power.
33
33
a)
9
b)
6
c)
27
d)
12
16.
In order to multiply powers with the same base, we add their exponents.
a)
True
b)
False
17.
Simplify the expression:
c4⋅c3=
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
18.
When dividing powers with the same base, you _______________ the exponents.
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
19.
x-3
a)
-x3
b)
1 / x3
c)
1 / x-3
d)
-x-3
20.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
21.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
22.
(r4)6
a)
10r
b)
r10
c)
24r
d)
r24
23.
Simplify:
(x3)2
(x3)2
a)
x5
b)
x
c)
x6
d)
3x2
24.
Simplify the following:
(x2y)5
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
25.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
26.
Simplify (6x7)2
a)
12x14
b)
36x14
c)
6x14
d)
6x9
27.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
28.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
29.
a)
a8b13
b)
a2b7
c)
a15b30
30.
Solve (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
31.
Apply the exponent rules
a)
1
b)
2
c)
21
d)
-21
32.
Simplify using the exponent rules
a)
b)
c)
d)
33.
Simplify the expression.
9 + (3xyz)0 - 10
a)
Cannot Be Simplified
b)
-1
c)
0
d)
2xyz
100 %
