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WorksheetsQuotient Property of Exponents
Total questions: 43
Worksheet time: 1hrs 28mins
Name
Class
Date
1.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
2.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
3.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
5.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
6.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
7.
Which is GREATER?
27 or 72
27 or 72
a)
27
b)
72
c)
Neither, they are equal
8.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
9.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
10.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
11.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
12.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
13.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
14.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
15.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
16.
4.) Simplify
(16x4y-5)/(8a3b-8)
(16x4y-5)/(8a3b-8)
a)
(a3y5)/(2x4b8)
b)
(2x4b8)/(a3y5)
c)
(8x4b8)/(a3y5)
d)
2x4b8a3y5
17.
3.) Simplify
(45x6y2) ÷ (5x4y9)
(45x6y2) ÷ (5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
18.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
19.
Simplify
a)
75x6
b)
3x2
c)
75x2
d)
20x6
20.
Simplify
a)
x4/3
b)
3x10
c)
36x10
d)
3x4
21.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
22.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
-6c5
b)
-6c
c)
6c
d)
-6c6
25.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
26.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
27.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
28.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
29.
Evaluate the expression using the quotient rule.
a)
c7
b)
1/c7
c)
1/c17
d)
c60
30.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
31.
Simplify.
a)
A
b)
B
c)
C
d)
D
32.
Simplify.
a)
A
b)
B
c)
C
d)
D
33.
a)
12a5b6z6
b)
8a5b6z6
c)
12a6b8z5
d)
8a6b8z5
34.
Simplify
a)
y7 / 24x4
b)
y7 / 4x4
c)
y / 4x4
d)
y12 / 4x4
35.
a)
x13
b)
x9
c)
x-9
d)
x22
36.
a)
1 / y3
b)
y7
c)
1 / y7
d)
y3
37.
Evaluate the expression using the quotient rule.
a)
c7
b)
1/c7
c)
1/c17
d)
c60
38.
Evaluate the expression:
a)
25
b)
1/25
c)
10
d)
-25
39.
a)
a
b)
b
40.
a)
-6c5
b)
-6c
c)
6c
d)
-6c6
41.
Simplify
a)
1/9
b)
6
c)
9
d)
1/6
42.
Simplify. Your answer should only contain positive exponents.
a)
A
b)
B
c)
C
d)
D
43.
Evaluate the expression using the quotient rule.
a)
122
b)
130
c)
622
d)
630
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