This document provides an overview of zero and negative exponents. It begins with an essential question about how to extend exponents to include zero and negative exponents. It defines zero exponent as a^0 = 1 for any nonzero number a, and negative exponent as a^-n = 1/a^n for any nonzero number a. Examples are given of simplifying expressions with zero and negative exponents. Students are asked to evaluate example expressions and rewrite them using positive exponents only. The document provides practice problems for students to solidify their understanding of working with zero and negative exponents.

1. Name:
Date:
Period:
Topic: Zero & Negative Exponents
Essential Question: How can you extend the use exponents to include zero and negative exponents?
• Warm-Up:
Mix-Review
1. Describe the slope of parallel & perpendicular
lines.
2. For the following inequality, y ≤ 2x + 5, in
what quadrant would you find the solution?
Explain.
3. What are some methods you can use to solve
system of equations problems? Explain

3. Vocabulary:
Zero Exponent – For any nonzero number a, a0 = 1
Negative Exponent – For any nonzero number a
with a negative exponents n, a-n = 1/an

4. Simplifying Powers with Zero
and Negative Exponents

5. Check Point

6. Evaluate the following
expressions.
A. B.
1
4-3
3 2

A. 3
1
3
1
9
2
2



B.
1
4
4
64
3
3



Rewrite the following
expressions using positive
exponents.
Solutions
A. B.
a
b
-3
-5
5 4
x
A. 5 5
1
5
4
4
4
x
x
x

 

B.
a
b a
b
b
a


 

3
5 3
5
5
3
1

7. 1) Evaluate the following expressions.
 
A. - B. C. D. E.
3
5
3
2
9 9 4
1
3
12
0
3
4 7 2 2
2
0





  

 

2) Rewrite the following expressions with positive exponents.
 
A. B. C. D. E.
y c
s
r
a x
 

  
6 4
3
2
3 1 4
7
2
5 3
( )

8. A. 





  
3
5
1
0
B.
3
2
3 2
3 8
24
3
3

 
 

 
D. 4 4
4
256
2 2 2 2
4
  




E.
1
3
12 3 1
9
2
0 2

  

= 27

9. A. y
y


6
6
1
B. 7 7
1
7
4
4
4
c
c
c

 

C.
2
2
2
3
2
3 2
3 2
s
r
s r
s r

 

 
 
D. 5
1
5
1
125
3
3
3
a
a
a



 
E. 3 3
1
3
81
1 4 4 1 4
4
4
4
x x
x
x
    
 
 


10. Page 417 (1-6, 9 , 22, 23)

11. EOC Practice Time

12. Page 417 (10, 11, 24, 26, 40)
EOC Practice Questions 76-80