Zero and Negative Exponents Worksheet

Zero and Negative Exponents Worksheet
  • Page 1
 1.  
Evaluate the expression.
5 - 3 × 55
a.
25
b.
125
c.
1 25
d.
1 125


Solution:

5 - 3 × 55 = 5 - 3 + 5
[Use the product of powers property.]

= 52
[Add exponents.]

= 25
[Evaluate the power.]

The value of the expression is 25.


Correct answer : (1)
 2.  
Evaluate the expression.
3- 4 × 30
a.
1 27
b.
1 81
c.
81
d.
27


Solution:

3- 4 × 30 = 3- 4 + 0
[Use the product of powers property.]

= 3- 4
[Add exponents.]

= 1(3)4
[Use the negative exponent definition.]

= 1 / 81
[Evaluate the power.]

The value of the expression is 1 / 81.


Correct answer : (2)
 3.  
Evaluate the expression: (- 3) - 4
a.
- 81
b.
81
c.
1 81
d.
- 1 81


Solution:

(- 3)- 4 = 1(- 3)4
[Use the rules for negative exponents.]

= 1 / 81
[Negative number raised to the even power gives positive number.]

The value of the expression is 1 / 81.


Correct answer : (3)
 4.  
10 - 4 = _______
a.
- 1 10005
b.
1 10003
c.
1 10000
d.
- 1 10000


Solution:

10 - 4 = 1104
[Use the rules for negative exponents.]

= 110000


Correct answer : (3)
 5.  
Evaluate the expression 2 - 3.
a.
8
b.
4
c.
1 8
d.
1 4


Solution:

2- 3
[Original expression.]

= 1(2)3
[Use the rules for negative exponents.]

= 1 / 8
[Evaluate the power.]

The value of the expression is 1 / 8.


Correct answer : (3)
 6.  
Evaluate the expression.
(- 2 × 3)- 2 + 2
a.
1 36
b.
32
c.
36
d.
{s1}


Answer: (d)


Correct answer : (4)
 7.  
Evaluate the expression: (- 3) - 2
a.
9
b.
1 9
c.
- 1 9
d.
- 9


Solution:

(- 3)- 2 = 1(- 3)2
[Use the rules for negative exponents.]

= 1 / 9
[Negative number raised to the even power gives positive number.]

The value of the expression is 1 / 9.


Correct answer : (2)
 8.  
Evaluate the expression.
(3 × 4)- 3
a.
1 1792
b.
1 1728
c.
1792
d.
1728


Solution:

(3 × 4)- 3 = 1(3 × 4)3
[Use definition of negative exponents.]

= 133×43
[Use power of product property.]

= 127 × 64
[Evaluate the powers.]

= 1 / 1728
[Multiply.]

The value of the expression is 1 / 1728.


Correct answer : (2)
 9.  
Evaluate the expression.
(- 4)- 6 × (- 4)4
a.
1 4
b.
16
c.
1 16
d.
4


Solution:

(- 4)- 6 × (- 4)4 = (- 4)- 6 + 4
[Use the product of powers property.]

= (- 4)- 2
[Add exponents.]

= 1(- 4)2
[Use the negative exponent definition.]

= 116
[Evaluate the power.]

The value of the expression is 1 / 16.


Correct answer : (3)
 10.  
Which one of the following is another way of writing the expression 6n- 6?
a.
6n6
b.
6n6
c.
- 6n6
d.
(- 6)n6


Solution:

6n- 6 = 6 × 1n6
[Use the rules for negative exponents.]

= 6n6
[Simplify.]

So, another way of writing the expression 6n- 6 is 6n6.
[Rewrite the expression with positive exponents.]


Correct answer : (1)

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