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Worksheets

Variable Expressions with Positive and Negative Exponents

Total questions: 27

Worksheet time: 1hrs 24mins

Name
Class
Date
1.
Simplify.
a)
y60
b)
1/y16
c)
y-16
d)
y4
2.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
3.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
4.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
5.
Rewrite each expression with a negative exponent.
1/124
a)
1/12-4
b)
124
c)
1/20,736
d)
12-4
6.
Rewrite each expression with a negative exponent.
1/(-5)7
a)
(-5)7
b)
1/(-5)-7
c)
(-5)-7
d)
1/78,125
7.
Rewrite each expression with a negative exponent.
1/125
a)
1/53
b)
53
c)
5-3
d)
1/5-3
8.
Simplify.
2-3 ⋅ 2-4
a)
1/128
b)
2-7
c)
212
d)
27
9.
4* 42
a)
164
b)
42
c)
44
d)
82
10.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
c)
555
d)
333
11.
2 * 22 *22
a)
24
b)
84
c)
36
d)
25
12.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
13.
Simplify.
a)
x7
b)
1/x3
c)
x3
d)
1/x7
14.
Simplify.
a)
y15
b)
y5
c)
y2
d)
2y5
15.
Simplify y0

a)
y
b)
0
c)
1
d)
1y
16.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
17.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
18.
When multiplying if bases are the same, what do you do with exponents?
a)
add 
b)
subtract
c)
multiply
d)
divide
19.
Power to a power, what do you do with exponents?
a)
add 
b)
subtract
c)
multiply
d)
divide
20.
Anything to the zero power equals...
a)
0
b)
1
c)
itself
d)
3
21.
When dividing if bases are the same, what do you do with exponents?
a)
add 
b)
subtract
c)
find the recipcroal
d)
divide
22.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
23.
Simplify 100
a)
10
b)
1
c)
0
d)
100
24.
Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x
a)
x6
b)
6x
c)
x3
d)
6x6
25.
a)
3b6
b)
6b6
c)
3b3
d)
6b3
26.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
27.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7