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Negative and Zero Exponents Worksheet

Negative and Zero Exponents Worksheet
  • Page 1
 1.  
Check the validity of the equation. (-3)0 = 30
a.
Valid
b.
Not valid


Solution:

(-3)0 = 1
[Definition of zero as an exponent.]

(3)0 = 1
[Definition of zero as an exponent.]

The values of exponential expressions (-3)0 and (3)0 are the same.

The expression (–3)0 = 30 is valid and true.


Correct answer : (1)
 2.  
Evaluate: m0 × n0
a.
3
b.
1
c.
2
d.
4


Solution:

m0 = 1
[Definition of zero as an exponent.]

n0 = 1
[Definition of zero as an exponent.]

m0 x n0 = 1 x 1 = 1

The value of expression m0 x n0 is 1.


Correct answer : (2)
 3.  
Evaluate: 6k0
a.
9
b.
6
c.
8
d.
11


Solution:

k0 = 1
[Definition of zero as an exponent.]

6 × k0 = 6 × 1 = 6

The value of expression 6k0 is 6.


Correct answer : (2)
 4.  
Evaluate: 1/(9)0
a.
9
b.
-1
c.
1


Solution:

1/(90) = 1 / 1 = 1
[Definition of zero as an exponent.]

The value of expression 1/(9)0 is 1.


Correct answer : (4)
 5.  
Evaluate: 1/(5)0
a.
5
b.
1
c.
1 5


Solution:

1/(5)0 = 1 / 1 = 1
[Definition of zero as an exponent.]

The value of expression 1/(5)0 is 1.


Correct answer : (2)
 6.  
Evaluate the expression 60.
a.
-1
b.
1
c.
None of the above


Solution:

60 = 1
[A nonzero number to the power zero is 1.]

The value of the expression is 1.


Correct answer : (2)
 7.  
Evaluate the expression (2 5)0.
a.
-1
b.
1
c.
None of these


Solution:

(25)0 = 1
[A nonzero number to the power zero is 1.]

The value of the expression is 1.


Correct answer : (3)
 8.  
Evaluate the expression (0.9)0.
a.
1
b.
0.9
c.
-1


Solution:

(0.9)0 = 1
[A nonzero number to the power zero is 1.]

The value of the expression is 1.


Correct answer : (1)
 9.  
Evaluate the expression 4-5 × 47.
a.
64
b.
1 64
c.
1 16
d.
16


Solution:

4-5 x 47 = 4-5+7
[Use the product of powers property.]

= 42
[Add exponents.]

= 16
[Evaluate the power.]

The value of the expression is 16.


Correct answer : (4)
 10.  
20 - 3 = _______
a.
1 8000
b.
1 8003
c.
-1 8000
d.
-1 8005


Solution:

20 - 3 = 1/(20)3
[Use the rules for negative exponents.]

= 18000


Correct answer : (1)

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