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Worksheets

Properites of exponents

Total questions: 25

Worksheet time: 30mins

Name
Class
Date
1.

 

Simplify the expression:  c4⋅c3=

a)

c12

b)

c4+3

c)

c7

2.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

multiply

c)

subtract

d)

divide

3.

How do you write 2 x 2 x 2 x 2 with an exponent?

a)

42

b)

24

c)

22

4.

Simplify (24)(25)

a)

29

b)

49

c)

220

d)

420

5.

(2⁸)²

a)

2¹⁶

b)

2⁶

c)

2¹⁰

d)

2⁴

6.

. 

m ⋅ m5 ⋅ m6

a)

m30

b)

m12

c)

12m

d)

mm11

7.

 

According to exponent rules, when we raise the power to a power we _______ the exponents. Example: (e2)5

a)

add

b)

subtract

c)

multiply

d)

divide

8.

What is the correct way to equivalent 52 * 53 ?

a)

56

b)

5-1

c)

55

9.

Which expression is equivalent (equal) to ( n * y)6

a)

6n * 6y

b)

n6 * y6

c)

n6y6

10.

What is 26540?

(a)  

11.

 

Which expression is equivalent (equal) to

109 / 103

a)

1/10-6

b)

106

c)

10-6

d)

1 / 106

12.

Which expression is equivalent (equal) to

a)

10-12

b)

10-6

c)

1/106

d)

1/1012

13.

 

Which expression is equivalent (equal) to

a)

63

b)

64

c)

62

d)

66

14.
4x-2y3 * 3x6y
a)
12x4y4
b)
12x-12y3
c)
7x4y4
d)
7x-12y3
15.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
16.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

17.

When raising a power to a power, you __________________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

18.

(x2)6

a)

x12

b)

x8

c)

x26

d)

x4

19.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

20.

Simplifies to:

a)

727^2

b)

717^1

c)

172\frac{1}{7^2}

d)

Does not simplify

21.
a)
b)
c)
d)
22.

(2x7)3

a)

6x21

b)

8x21

c)

6x10

d)

8x10

23.
Simplify:
(5ab2)2
a)
25a2b4
b)
10a2b4
c)
10ab4
d)
25ab4
24.

 

Which expression is equivalent (equal) to

a)

63

b)

64

c)

62

d)

66

25.

Which property would I use to solve the following:

5652\frac{5^6}{5^2}  

a)

Power of Products

b)

Product of Powers

c)

Quotient of Powers

d)

Power of Powers