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Worksheets

Exponents

Total questions: 41

Worksheet time: 3hrs 25mins

Name
Class
Date
1.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
2.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
3.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
4.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
5.
Simplify the expression x5x7
a)
x35
b)
x12
c)
x2
d)
x-2
6.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
7.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
8.
Which is the expanded form of 
53
a)
3 x 3 x 3
b)
5 x 5
c)
5 x 5 x 5
d)
5 x 3
9.
What is the exponential form of 
4 x 4 x 4 x 4 x 4 x 4
a)
64
b)
42
c)
46
d)
4 x 6
10.
Simplify the expression in exponential form:
(54)3
Hint: Expand it out
a)
51
b)
57
c)
512
11.
Simplify the expression in exponential form:
1340
a)
0
b)
134
c)
1
12.
Simplify the expression:
(a5)(a4)
a)
a20
b)
a9
c)
a1
13.
What's the base?
y5
a)
5
b)
y
14.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
15.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
16.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
17.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

18.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
19.

Write  757^5  in expanded form

a)

7 x 2

b)

7x 7 x 7 x 7 x 7

c)

526

d)

35

20.

 10210^2  Identify the base 

a)

10

b)

2

21.

 10210^2  Identify the exponent

a)

10

b)

2

22.

 10×10×10×10×10=10\times10\times10\times10\times10=  

a)

 10×510\times5  

b)

 10510^5  

23.

 103=10^3=  

a)

 10×10×1010\times10\times10  

b)

 10×310\times3  

c)

 10+10+1010+10+10  

d)

10,000

24.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

25.

 y0=y^0=  

a)

y

b)

0

c)

1

d)

10

26.

 3650=365^0=  

a)

0

b)

1

c)

365

d)

 1365\frac{1}{365}  

27.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

28.

 x3⋅x4 =x^3\cdot x^4\ =  

a)

 x12 x^{12\ }  

b)

 x−1x^{-1}  

c)

 x7x^7  

d)

 x34x^{34}  

29.

 m2⋅m6⋅m=m^2\cdot m^6\cdot m=  

a)

 m8m^8  

b)

 m12m^{12}  

c)

 m4m^4  

d)

 m9m^9  

30.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

31.

 x9x4\frac{x^9}{x^4}  =

a)

 x13x^{13}  

b)

 x36x^{36}  

c)

 x5x^5  

d)

 x−5x^{-5}  

32.

 x17x8\frac{x^{17}}{x^8}  

a)

 x9x^9  

b)

 x25x^{25}  

c)

 x−9x^{-9}  

d)

 x−25x^{-25}  

33.
Simplify (-5.7)0
a)
1
b)
0
c)
-1
d)
-5.7
34.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
35.

56 * 53

a)

518

b)

253

c)

59

d)

53

36.

Simplify the following expression:

75 * 72 =

a)

77

b)

75

c)

499

37.

Simplify the following expression:

(-3)0

a)

0

b)

-1

c)

1

38.

Simplify:

-70

a)

0

b)

1

c)

-1

39.

Simplify:

(x5)3

a)

x2

b)

x8

c)

x15

40.

Simplify:

b8

b3

a)

b11

b)

b5

c)

b24

41.

z0

a)

z

b)

0

c)

1