WorksheetsExponent Properties Basic
Total questions: 25
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
Simplify:
a)
A
b)
B
c)
C
d)
D
2.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
3.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
4.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
5.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
6.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
7.
(54)(56)
a)
510
b)
524
c)
2524
d)
2510
8.
(103)6
a)
1018
b)
306
c)
109
d)
303
9.
The length of a rectangle is 4a4b5 and the width is 3a2b3, what is the expression that represents the area of the rectangle?
a)
12a6b8
b)
7a6b8
c)
12a8b15
d)
1a2b2
10.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
11.
Simplify to an equivalent expression BUT leave in exponent form.
43⋅45
43⋅45
a)
48
b)
168
c)
415
d)
1615
12.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
13.
According to exponent rules, when we multiply the same base, we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
14.
(52c3)5
a)
105c5
b)
57c8
c)
510c15
d)
510/c15
15.
According to exponent rules, when we have a power times a power we ____________ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.
(9⁸)²⋅9⁴
a)
9²⁰
b)
9¹⁴
c)
9²⁴
d)
9²³
17.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
18.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
19.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
20.
Evaluate the expression using the quotient rule.
a)
c7
b)
1/c7
c)
1/c17
d)
c60
21.
a)
A
b)
B
c)
C
d)
D
22.
a)
-6c5
b)
-6c
c)
6c
d)
-6c6
23.
The Quotient Property states that you can combine like factors by division: The base stays the same and you ____________________ the exponents
a)
Subtract
b)
Add
c)
Multiply
d)
Divide
24.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
25.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
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