1. Objective:
Evaluate & Simplify expressions containing zero and integer exponents.

2. x4 BASE EXPONENT Definition:
An exponent tells us how many times the BASE is being MULTIPLIED by ITSELF!
Example:

3. Anything to the zero power equals 1!
Zero Exponents
Exploration:
Use your calculator to answer the following questions –
Rule:
____________________________________________
Application: 1 1 1
Anything to the zero power equals 1! 1 1 32

4. Zero Exponents Continued
EXCEPTION TO THE RULE
Exploration:
Use your calculator to answer the following questions –
Rule:
____________________________________________________
error
error
error
00 and 0 raised to a negative power are both undefined.

5. Negative exponents are BAD!
***If you have a negative exponent in a problem you must get rid of it.

6. Let’s explore negative exponents.
Use your calculator to find: = 8 = 16
𝟏 𝟖
𝟏 𝟏𝟔
−3 =
−2 =

7. Negative exponents become a fraction.
1 goes on top, positive exponent on the bottom.
Summary: ___________________________________________________
___________________________________________________
For example: 𝟐 −𝟑 is the same thing as: 𝟏 𝟐 𝟑

8. What if it was backwards?
Use your calculator to find:
216 = = 25
−3 =
−2 =
216 25

9. Summary:
If a negative exponent is on the bottom of a fraction it comes to the top and becomes positive.

10. To get rid of a negative exponent:
If you have variables instead of numbers you must remember the rule (because you cannot put variables into your calculator!)
To get rid of a negative exponent:
Move the exponent to the opposite side of the fraction.
If on the top → move to the bottom.
If on the bottom → move to the top.
Make the exponent positive.

11. If you just have numbers you can use your calculator!
That is okay!

12. 2–4
5–3
(–5)–4
4–3

13. 𝟏 𝟏𝟎,𝟎𝟎𝟎𝟎 –4
6. (-2)–5
7. 70
8. 9-1
−𝟏 𝟑𝟐 𝟏
𝟏 𝟗

14. Simplify the expression.
𝟏 𝒙 𝟒
12.
13.
𝟏 𝒄 𝟕 9.
10.
11.
𝟏 𝒔 𝟖
𝒙 𝟑
𝟓𝒙 𝟐

15. Simplify the expression.
16.
17.
14.
15.
2r0m–3

16. 7-1
20.
21.
18.
19.
𝟏 𝒙 𝟑 𝒛 𝟓 𝟑 𝒚 𝟐

17. 24. p–3 for p = 4 7-1 Evaluate means “PLUG IN!” (with parenthesis!!)
Evaluate the expression for the given value of the variables.
7-1
Evaluate means “PLUG IN!” (with parenthesis!!)
x–2 for x = 4
–2a0b-4 for a = 5 and b = –3
p–3 for p = 4

18. 1 Review from Yesterday Anything to the zero power equals…..
What do you do with negative exponents?
Evaluate means??? 1
Flip them!
Top → Bot
Bot → Top
Then make positive!
PLUG IN with PARENTHESIS!!

19. 7.1 Practice #1

20. 7.1 Practice #1

21. Numbers 13 & 14 do not have answers on the right.
Find your own answers!!