1. Stand Quietly

2. Basic Exponents
Students will be able to identify exponent, power, and base of each given problem as evidenced by the Exponent Problems.

3. Homework (10/14/2016)
Chapter 1 Study Guide Packet Page 2

4. Definition of Exponent
An exponent tells how many times a number is multiplied by itself.
Exponent/power 3 4
Base

5. 𝟒 𝟑 = 𝟒 𝟒 𝟒 =𝟔𝟒
Exponent form: 4 3 Expanded form: (4)(4)(4) Standard form: 64

6. How to read an Exponent
This exponent is read three to the fourth power.
Exponent or
power 3 4
Base

7. How to read an Exponent
This exponent is read three to the 2nd power or three squared.
Exponent or
power 3 2
Base

8. How to read an Exponent
This exponent is read three to the 3rd power or three cubed.
Exponent or
power 3 3
Base

9. What is the Exponent? 3
(-2)(-2)(-2) =
(-2)

10. What is the Exponent? 2
3(3) = 3

11. What is the Exponent? 4
(-5)(-5)(-5)(-5) =
(-5)

12. What is the Base and the Exponent?4
(r)(r)(r)(r)= r

13. What is the Base and the Exponent?
(-7) 5
(-7)(-7)(-7)(-7)(-7) =

14. How to Multiply Out an Exponent to Find the Standard Form4 3
= 3 x 3 x 3 x 3 9 27 81

15. What is the Standard Form?3
(-2)=(-2)(-2)(-2) = -8

16. What is the Standard Form?2 9
(-3) = (-3)(-3) =

17. What is the Standard Form?3
-5 = -(5)(5)(5)
-125 =

18. What is the Standard Form?4
-2 = -(2)(2)(2)(2) =
-16

19. Exploration
Does -42 = 42 = (-4)2 = - (42)? Show and explain how you know. (HINT: Evaluate each expression. Indicate which ones are equivalent and which ones are not equivalent. Explain how you know this.)

20. Answer
Does -42 = 42 = (-4)2 = - (42)? We should expand each problem and find the standard form so we can compare. −4 2 =− 4∙4 =−16 because the negative does not belong to the base 4 2 = 4∙4 =16 (−4) 2 = −4)(−4 =16 because the negative belong to the base −(4 2 )=− 4∙4 =−16 because the negative is outside of the parenthesis. Conclusion: −4 2 and −(4 2 ) because they have the answer of and (−4) 2 because they have the answer of 16.