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Worksheets

Exponent Rules

Total questions: 21

Worksheet time: 2hrs 51mins

Name
Class
Date
1.
xo
a)
1
b)
0
c)
x
d)
2x
2.
(4c3)2
a)
8c5
b)
8c6
c)
4c6
d)
16c6
3.
-3g5 ⋅ 4g6
a)
-7g11
b)
12g30
c)
-7g30
d)
-12g11
4.
(2w3x2)(-3w4x5)
a)
-6w7x7
b)
-w12x10
c)
-6w12x10
d)
-w7x7
5.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
6.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
7.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
8.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
9.

Find the product.

a)

21m4

b)

m9

c)

24m7

d)

14m4

10.

Find the product.

a)

56n9

b)

28n16

c)

7n10

d)

30n8

11.
52 , in this example 5 is the ______
a)
base
b)
exponent
12.

Write this expression using positive exponent:

x-7

a)

-7

b)

-7x

c)

1/x7

d)

-1/x7

13.

Simplify (evaluate):

7-2

a)

49

b)

10/49

c)

-49

d)

1/49

14.

Write this expression using positive exponent:

9-3

a)

93

b)

1/9-3

c)

1/93

d)

729

15.
a)
3b6
b)
6b6
c)
3b3
d)
6b3
16.
Simplify.
a)
y60
b)
1/y16
c)
y-16
d)
y4
17.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
18.
Simplify (-3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
-9x8y10
19.
If (2x)5=215, what does x equal?
a)
x = 3
b)
x = 5
c)
x = 10
20.


 (3x4y4)2\left(3x^4y^{-4}\right)^{-2}  

a)

 9x8y89x^8y^8  

b)

 y89x8\frac{y^8}{9x^8}  

c)

 6x2y6\frac{6x^2}{y^6}  

d)

 6x2y66x^2y^6  

21.


 (u0v1)1\left(u^0v^{-1}\right)^{-1}  

a)

 vv  

b)

 uvuv  

c)

 1v\frac{1}{v}  

d)

 vu\frac{v}{u}