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Worksheets

Properties of Exponents

Total questions: 20

Worksheet time: 46mins

Name
Class
Date
1.

(a4)6

a)

a46

b)

a24

c)

a10

2.

a6 ⋅ a4

a)

a64

b)

a24

c)

a10

3.

a2(a3)(a6)

a)

a11

b)

a36

c)

a20

d)

3a12

4.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
5.
(-3y)3
a)
9y3
b)
-27y3
c)
-9y3
d)
-3y3
6.

(9w2x8)(w6x4)

a)

9w8x12

b)

9w12x32

c)

81w8x12

d)

81w12x32

7.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
8.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
9.
According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
10.
According to exponent rules, when we multiply exponential expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
11.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
12.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
13.
a)

116\frac{1}{16}

b)

18\frac{1}{8}

c)

-16

d)

-8

14.
a)

127\frac{1}{27}

b)

1−9\frac{1}{-9}

c)

27

d)

9

15.
a)

x7

b)

x11

c)
d)
16.

(x8)(x−5)

a)

x−40

b)

x−13

c)

x13

d)

x3

17.
a)

b6

b)

b7

c)

b1

d)

b−6

18.
 Simplify
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
19.
a)

x11

b)

x18

c)

x-7

d)

x7

20.
a)
k7
b)
k3
c)
1/k10
d)
k10