wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Exponent Properties

Total questions: 20

Worksheet time: 49mins

Name
Class
Date
1.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
2.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
3.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
4.
True or False: 
a)
True 
b)
False
5.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
6.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
7.
True or False?
a)
True
b)
False
8.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
9.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
10.
Simplify: (3x2)3
a)
27x6
b)
9x6
c)
3x6
d)
9x5
11.
(52)3
a)
56
b)
55
c)
57
d)
58
12.
(r4)6
a)
10r
b)
r10
c)
24r
d)
r24
13.
Any nonzero number to the zero power is equal to 1. 
a)
True 
b)
False
14.

When dividing powers of the same base, such as x3/x5, you will _____________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

15.

When multiplying powers of the same base, such as (x2)(x), you will _____________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

16.

When raising a power to a power, such as (x3)5 you will __________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

17.

Which number is the BASE?

23 = 8

a)

2

b)

3

c)

8

18.

Simplify m12/ m3

a)

m9

b)

m4

c)

m-9

d)

-m9

19.

8 x 8 x 8 x 8 x 8

a)

85

b)

88

c)

8 x 8 x 8 x 8 x 8

d)

8

20.

 30×333^0\times3^3  

a)

1

b)

 333^3  

c)

 343^4  

d)

3