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Worksheets

Rules of Exponents

Total questions: 26

Worksheet time: 41mins

Name
Class
Date
1.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
2.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
3.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
4.
40
a)
0
b)
1
c)
4
d)
-4
5.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
6.
Simplify:
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
7.
a)
m4
b)
m6
c)
m10
d)
1/m6
8.
a)

4-2

b)

1/42

c)

1/16

d)

all of the above

9.
a)
529
b)
5-5
c)
5-12
d)
517
10.
According to exponent rules, when we divide the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
11.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
12.
Multiply
a)
100
b)
101
c)
10-2
d)
1/100
13.
a)
49
b)
444
c)
421
d)
415
14.
a)
1
b)
60
c)
36/36
d)
all of the above
15.
10⋅10⋅10⋅10 is equal to which exponent?
a)
1000
b)
103
c)
104
d)
410
16.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
17.

Simplify the expression:  33×433^3\times4^3  

a)

12912^9  

b)

12312^3   

c)

12612^6  

d)

767^6  

18.

When different bases are multiplied together with the same exponents, you __________ the bases together.

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

19.

1034310^3\cdot4^3  

a)

40740^7  

b)

10310^3  

c)

14314^3  

d)

40340^3  

20.

5103105^{10}\cdot3^{10}  

a)

8208^{20}  

b)

151015^{10}  

c)

8108^{10}  

d)

5105^{10}  

21.

2442424^4\cdot2^4  

a)

26426^4  

b)

48448^4  

c)

48848^8  

d)

26826^8  

22.
7-2
a)
49
b)
10/49
c)
-49
d)
1/49
23.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
24.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
25.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
26.
Simplify.
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3