1. Copy and complete the table in your notes.2x
10x
24= _____
104=_____
23= _____
103=_____
22= _____
102=_____
21=_____
101=_____
20=_____
100=_____
2-1=_____
10-1=_____
2-2=_____
10-2=_____
What pattern do you notice when you decrease an exponent by 1?
What do you think the value of 5-2 is? Explain your reasoning

2. Zero and Negative Exponents
Section 7.1

3. Use your calculator to evaluate.
What can you conclude? 50
(-2)0
(.45)0
(1/7)0
(1239)0
A nonzero number to the zero power ALWAYS equals one.

4. Exponent Property of Zero
Any nonzero number or variable raised to the zero power is equal to 1.
Examples

5. Properties of Negative Exponents
Negative exponents move the exponent to the other part of the fraction – reciprocal.
So, if my exponent is…
In the numerator, flips to the denominator.
In the denominator, flips to the numerator.
Examples:

6. Example 1
-9 is upstairs.
We will flip it…

7. Uncover the Riddle…

8. Simplifying Exponential Expressions
Simplest form means: ONLY POSITIVE EXPONENTS (no negative exponents)

9. Example 2
4 is upstairs.
We will flip it down…

10. Example 3: Evaluate
4 is downstairs.
We will flip it up…

11. Example 4
x is downstairs.
We will flip it up…

12. Example 5:
4 is downstairs.
We will flip it down…

13. Evaluating Expressions
Simplify first
Put in Numbers

14. Evaluate, given n=-2 and w=5