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Worksheets

Exponents

Total questions: 60

Worksheet time: 2hrs 59mins

Name
Class
Date
1.

Solve using the product law of exponents

Resolver utilizando la ley de productos de los exponentes

(55)(53)

a)

258

b)

515

c)

2515

d)

58

2.

Solve using the product law of exponents.

(Espanol) Resolver utilizando la ley de productos de los exponentes.


(1012)(104)

a)

1016

b)

1048

c)

10016

d)

10048

3.

Simplify.

Simplificar.


(x4) (x)

a)

2x4

b)

x

c)

x5

d)

x4

4.

Evaluate and leave answer as an exponent.

Evaluar y dejar la respuesta como exponente.


48(48)(4-5)

a)

6411

b)

411

c)

6421

d)

4-21

5.

Use the product law to solve.

Utilice la ley de productos para resolver.


(7-17)(7-24)

a)

7 -7

b)

49697

c)

7 -41

d)

49 -41

6.

Simplify


w5(wx)w7

a)

w35x

b)

w13

c)

w12x

d)

w12 + x

7.

Solve.

Resolver.


(y6)(y-11)

a)

y-66

b)

y-5

c)

y5

d)

y17

8.

Solve using the product law of exponents and simplify your answer.


Resolver utilizando la ley de productos de los exponentes y simplifica tu respuesta.


(m)(m6)(m-2)

a)

m-12

b)

m5

c)

m4

d)

m9

9.

Solve and leave answer as exponent.

Resolver y dejar la respuesta como exponente.


9-13(93)9-1(913)

a)

92

b)

9-2

c)

9-30

d)

6561507

10.

Solve and leave answer as exponent.

Resolver y dejar la respuesta como exponente.


(8n)(82)

a)

642n

b)

8(2 + n)

c)

83

d)

82n

11.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
12.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
13.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
14.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
16.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
17.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

18.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

19.
a)
b)
c)
d)
20.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

21.
a)
b)
c)
d)
22.
a)
b)
c)
d)
23.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
24.

Write with positive exponents:

1/a-2

a)

a-2

b)

a2

c)

1/a1

25.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
26.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
27.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
28.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

29.

Simplify

a)

x4/3

b)

3x10

c)

36x10

d)

3x4

30.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
31.
What is the value of
8³
a)
512
b)
24
c)
64
d)
352
32.

Which 2 are equal to

4 x 4 x 4

a)

434^3  

b)

343^4  

c)

12

d)

64

33.
Evaluate
2⁵
a)
10
b)
16
c)
32
d)
124
34.
Evaluate
3⁶
a)
81
b)
18
c)
729
d)
243
35.
What is the value of
9²
a)
18
b)
81
c)
729
d)
9
36.
What is the value of
4⁴
a)
16
b)
64
c)
256
d)
8
37.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
38.

In this expression
525^2  
The base is ...

a)

2

b)

5

39.

In this expression
757^5  
The exponent is ...

a)

7

b)

5

40.

In this expression
10410^4  
10 is the ...

a)

base

b)

exponent

41.

In this expression
343^4  
4 is the ...

a)

base

b)

exponent

42.

In this expression
343^4  
3 is the ...

a)

base

b)

exponent

43.

Which 2 are equal to

5 x 5 x 5

a)

353^5  

b)

1515   

c)

125125  

d)

535^3  

44.

60 =6^{0\ =}  

use calculator

a)

0

b)

1

c)

6

d)

.06

45.

41 =4^{1\ =}  

use calculator

a)

0

b)

1

c)

4

46.

52=5^2=  

2 answers

a)

10

b)

25

c)

5 x 2

d)

5 x 5

47.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
48.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
49.
5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
50.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
51.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
52.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
53.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
54.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
d)
not here
55.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
56.
Simplify to an equivalent expression BUT leave in exponent form. (use product rule)
                                   43⋅45
a)
48
b)
168
c)
415
d)
1615
57.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
58.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
59.
a)
a8b13
b)
a2b7
c)
a15b30
60.
(r4)6
a)
10r
b)
r10
c)
24r
d)
r24

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