1. copyright©amberpasillas2010

2. For Learning to Happen! Remove all other thoughts from your mind. Pay close attention to this lesson. Try all of the examples. Ignore all other distractions.

3. copyright©amberpasillas2010 An exponent is a little number high and to the right of a regular or base number. 8 3 Base Exponent

4. copyright©amberpasillas2010 8 3 Base Exponent This exponent is read 8 to the 3rd power, or 8 cubed.

5. copyright©amberpasillas2010 8 3 Base Exponent An exponent tells how many times a number is multiplied by itself.

6. copyright©amberpasillas2010 8 3 Base Exponent This exponent means 888 = 512

7. copyright©amberpasillas2010 This exponent is read six to the fourth power. 6 4 Base Exponent

8. copyright©amberpasillas2010 This exponent is read three to the 2 nd 2 nd power or three squared. 3 2 Base Exponent

9. copyright©amberpasillas2010 Read These Exponents 7 7 to the 2 nd power or 7 squared 2

10. Read These Exponents 10 10 to the 3 rd power or 10 cubed 3

11. copyright©amberpasillas2010 What is the Exponent? 2 2 2 =2 3

12. copyright©amberpasillas2010 What is the Exponent? a a a a = a 4

13. copyright©amberpasillas2010 What is the Exponent? (bc)(bc)(bc) = (bc) 3 NOTICE that you keep the parenthesis around the variables (bc) because you are cubing all the (bc)

14. copyright©amberpasillas2010 Write the Verbal Phase Power Verbal PhraseMeans “Seven to the 2nd power” “Seven squared” “Five to the 3rd power” “Five cubed”

15. copyright©amberpasillas2010 Write the Verbal Phase Power Verbal PhraseMeaning “Nine to the 4th power” “Two to the 5th power”

16. copyright©amberpasillas2010 How to Multiply Out Exponents = 3 3 3 3 3 9 27 81 4

17. copyright©amberpasillas2010 How to Multiply Out Exponents = 2 2 2 2 2 2 4 8 16 5 32

18. copyright©amberpasillas2010 When simplifying exponents you must watch the sign and the parenthesis! 62 62 = 6 6 = 36 –6 2 = –6 6 = -36 (-6) 2 = (-6) ( -6) = 36 -(6) 2 = - (6) ( 6) 1 = -36

19. copyright©amberpasillas2010 An exponent is written in exponential form form when it is simplified. 32a332a332a332a3 Exponential Form

20. copyright©amberpasillas2010 An exponent is written in factor form form when it is written out. 32a332a332a332a3 = 33aaa Factor Form

21. copyright©amberpasillas2010 Factored FormExponential Form x 8 y 8 x 8 2 x 2 y a b a 2 2a 2 b 1 13 p p p r r 13p 3 r 2

22. copyright©amberpasillas2010 Factored FormExponential Form 5 x x x 5x 3 (5x) 3 (5x)(5x)(5x) = 5 3 x 3 = 125x 3

23. copyright©amberpasillas2010 Factored FormExponential Form 8(ab)(ab) 8(ab) 2 = 4 3 x 3 w 3 y 3 (4xwy) 3 (4xwy)(4xwy)(4xwy) = 8a 2 b 2 = 64x 3 w 3 y 3

24. copyright©amberpasillas2010 Evaluate the expression if x = 3 and y = 4 “Evaluate” mean to solve!

25. Evaluate the expression if x = 3 and y = 4 “Evaluate” mean to solve!

26. copyright©amberpasillas2010 Fractions With Exponents

27. Fractions With Exponents

28. copyright©amberpasillas2010 Fractions With Exponents

29. copyright©amberpasillas2010 Take out your Study Guide (blue).

30. copyright©amberpasillas2010 An exponent tells how many times a number is multiplied by itself. 8 3 Base Exponent #1 Factored Form 3 3 a a a Exponential Form 3 2 a 3 x y x 2 2x 2 y 1 888= 512

31. copyright©amberpasillas2010 # 2 When s implifying exponents you must watch the sign and the p arenthesis ! 52 52 = 5 5 = 25 –5 2 = – (5) ( 5) = –25 (-5) 2 = (-5) ( -5) = 25 –(5) 2 = - (5) ( 5) = –25 1

32. copyright©amberpasillas2010 #3 1) 2) 3) 4) To find 54 54 on my calculator I type in 54 ^ = 625 5 yxyx 4 = 625 xyxy x 54 5 4 = 625 Circle the method that works on your calculator!

33. copyright©amberpasillas2010 TEACHER NOTE : The lesson above was taught for Pre-Algebra & Algebra. The following slides were used for the class of Algebra Readiness (lower level students) and slide #18-28 were taken out of the lesson above since we were just introducing Exponents.

34. copyright©amberpasillas2010 Evaluate the Power “Evaluate” mean to solve! 1) 2) 3) 4)

35. copyright©amberpasillas2010 7 units 3 Addition: -One-Dimensional Growth + = + 4 = Multiplication: Two-Dimensional Growth “Three added to four” “Three times four” or “Three groups of four” ++= + 4 + 44 = 12 square units 3(4) =

36. copyright©amberpasillas2010 Exponents: Three-Dimensional Growth “Three to the third power”“Three to the fourth power” 3 3 3

37. copyright©amberpasillas2010 Perimeter Area Volume 5 5 5 5 P = s+s+s+s P = 4s 5 5 One Dimensional Two Dimensional Three Dimensional “Five Squared”“Five Cubed” 5 5 5

38. copyright©amberpasillas2010 I am going to give you a Study Guide (blue). Please take good notes on what we just learned! You can use these notes to help you with homework! You can use these notes on your test!

39. copyright©amberpasillas2010 Exponents & Powers An exponent or power tells how many times a number is multiplied by itself. 3 4 Base Exponent #1 “Five to the 2nd power” “Five squared” “Seven to the 3rd power” “Seven cubed”

40. copyright©amberpasillas2010 #2 1) 2) 3) 4) To find 54 54 on my calculator I type in 54 ^ = 625 5 yxyx 4 = 625 xyxy x 54 5 4 = 625 Circle the method that works on your calculator!