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Worksheets

Exponent Rules Review

Total questions: 30

Worksheet time: 36mins

Name
Class
Date
1.
True or False: 
a)
True 
b)
False
2.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
3.
Simplify the expression.
a)
122
b)
130
c)
622
d)
630
4.

Simplify using the quotient rule:

a)

a8b13

b)

a2b7

c)

a15b30

5.
Simplify using the product rule: x3y2x3=
a)
x6y2
b)
xy8
c)
x3y5
6.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
7.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
8.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
9.

Simplify the expression: (2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

10.

Simplify the expression:

(3xy)2

a)

6x2y2

b)

32x2y2

c)

3xy2

d)

3x2y

11.

Simplify the expression: m ⋅ m5 ⋅ m6

a)

m30

b)

m12

c)

12m

d)

mm11

12.

Simplify the expression:

a)

4y6

b)

4y22

c)

30y6

d)

30y22

13.

Simplify:

a)

4p3

b)

3p3

c)

1/3p4

d)

3p4

14.

Simplify:

a)

3k9

b)

k/3

c)

k/6

d)

6k

15.
x3(x9)
a)
x3
b)
x27
c)
x12
d)
x6
16.
(m2)5
a)
m7
b)
m25
c)
m3
d)
m10
17.
(a3b)4
a)
a12b4
b)
a7b5
c)
a3b4
d)
ab8
18.
118/113
a)
1111
b)
115
c)
1124
d)
15
19.
(P4)9
a)
P49
b)
P36
c)
P13
d)
P5
20.
5c2⋅(2c3)4
a)
80c9
b)
10c14
c)
10c24
d)
80c14
21.
(86⋅85)÷(87)
a)
84
b)
823
c)
818
d)
1/(86)
22.
a)

2m5

b)

16m2

c)

4m5

d)

4m6

23.
a)

6k5

b)

42k

c)

6k4

d)

8k5

24.
a)

6xy

b)

6y2x

c)

y2x / 3

d)

5y2x2

25.
a)

33n6

b)

1n11

c)

1/n7

d)

n

26.
(m2)5
a)
m7
b)
m25
c)
m3
d)
m10
27.
(P4)9
a)
P49
b)
P36
c)
P13
d)
P5
28.

 25⋅752^5\cdot7^5  

a)

 14514^5  

b)

 141014^{10}  

c)

 757^5  

d)

 262^6  

29.

 103⋅4310^3\cdot4^3  

a)

 40740^7  

b)

 10310^3  

c)

 14314^3  

d)

 40340^3  

30.

 9123⋅81239^{123}\cdot8^{123}  

a)

 1712317^{123}  

b)

 721272^{12}  

c)

 7212372^{123}  

d)

 17617^6