1. Negative Exponents
and
Zero Exponents

2. Bell Work = 1 • 1 1 • -1 = -1 • -1 = -1 • -1 • -1 = -1 • -1 • -1 • -1
-1 • -1 • -1 • -1 • -1 =
-1 • -1 • -1 • -1 • -1 • -1 =
Odd # of Negatives = Negative
Even # of Negatives = Positive

3. Bell Work Get out a piece of paper for notes. Label it 7.1
Watch this video and answer the 4 problems at the end on Tuesday’s bell work

4. Negative & Zero Exponents

5. Zero Exponents
Simplify.

6. Definition of Negative Exponent
a-n is the reciprocal of an

7. Definition of Negative Exponent
For any integer n,
a-n is the reciprocal of an

8. Definition of Negative Exponent
For any integer n,
a-n is the reciprocal of an

9. Simplify.

10. Negative & Zero Exponents
Study the table and FOLLOW THE PATTERN!
Exponent, n –1 2–2 2– Power, 2n 1 2 1 4 1 8 32 16 8 4 2 1
What do you think 2–4 will be?
2–4 = = 1
What do you think 2–5 will be?
2–5 = = 1

11. Negative & Zero Exponents
Study the table and FOLLOW THE PATTERN!
Exponent, n –1 3–2 3– Power, 3n 1 3 1 9 1 27
243 81 27 9 3 1
What do you think 3–4 will be?
3–4 = = 1
What do you think 3–5 will be?
3–5 = = 1

12. Simplifying Expressions-2

13. Simplify the following expressions:1 x5 16
-n3p6 1

14. Practice Problems 1. 2-2 2. (-2)0 3. 5-x 4. (½)-1 5. 5(2-1) 6. 2x-2y-3
2. (-2)0 1 x
1/5x
4. (½)-1 2
(2-1)
5/2
x-2y-3
2/y3x2

15. More Practice
7. x-5
1/x5 8.
x5/2
9. x4y-7
x4/y7
10.
x3y/9

16. The end

17. Powers of Ten
# 4 1 10 10 -1 1 10
= 0.1 10 1 2
100 3 -2 1 10 1
100
= 0.01
1,000 10 2 4
10,000 -3 1 10 1
1000
= 0.001 10 5
100,000 3

18. Negative Exponents For any integer n, a-n is the reciprocal of an # 5
EXAMPLES:
A negative exponent is an inverse!

19. Ex: # 6 Zero Exponent Any number to the zero power is ALWAYS ONE.