Download presentation

Presentation is loading. Please wait.

Published byMitchell Riley Modified about 1 year ago

1

2
Mr. Preiss Algebra 1

3
Relax, you aren’t in any trouble. This exponent stuff is a piece of cake. In this activity you will be maneuvering your way through every exponent property. In order to advance through the lesson, you must select the right responses and move ahead to the next property. If you make a mistake, you will be guided back to the property to try again. Upon completing every lesson, you will be required to take a 10 question quiz. Be sure of your answers though, one slip and you are sent back to the properties and have to start all over!

4
Product of Powers Power of a Power Power of a Product Quotient of Powers Zero Exponent Negative Exponents Power of a Quotient

5
Product of Powers When multiplying like bases, we have to ADD their exponents x m x n = x m+n Example: x 3 x 4 = x 7 Now you choose the correct answer… x 5 x 6 = ? x 30 x 56 x 11

6
Remember, if you are multiplying like bases, we do NOT multiply the exponents Return to last slide

7
Return to The Properties

8
Notice if we were to break up the previous problem as the following… x 5 x 6 = ? x x x x x x x x x x x Since x 5 means x times itself five times and x 6 means x times itself six times. How many of the x times itself did we end up with?

9
Power of a Power When a base with a power is raised to another power, we MULTIPLY their exponents (x m ) n = x m n Example: (x 2 ) 8 = x 16 Now you choose the correct answer… (x 3 ) 4 = ? x 12 x 34 x7x7

10
Remember, if you have a power to a power, we do NOT add the exponents Return to last slide

11
Return to The Properties

12
Now if we were to break up the previous problem as the following… (x 3 ) 4 = ? (x x x) 4 And continued to break these up using the ideas from the first property, we could get… (x x x) (x x x) How many of the x times itself did we end up with?

13
Power of a Product When a product is raised to a power, EVERYTHING in the product receives that power (xy) m = x m y m Example: (xy) 7 = x 7 y 7 Now you choose the correct answer… (xy) 2 = ? x2yx2yx2y2x2y2 xy 2

14
Remember, if you have a product to a power, ALL terms must receive that power Return to last slide

15
Return to The Properties

16
Now if we were to break up the previous problem as the following… (xy) 2 = ? (xy) And thinking about what happens when we multiply like bases, what would the powers of each variable be?

17
Quotient of Powers When dividing like bases, we have to SUBTRACT their exponents = x m-n Example: = x 6 Now you choose the correct answer… = ? x8x8 x2x2 x 24

18
Remember, if you are dividing like bases, do NOT divide their exponents Return to last slide

19
Return to The Properties

20
Now if we were to break up the previous problem as the following… Looking at the x’s in the numerator and the denominator. If every x in the numerator was cancelled by one in the denominator, how many of the x times themselves would be left and where would they be?

21
Power of a Quotient When a quotient is raised to a power, EVERYTHING in the quotient gets that power = Example: = Now you choose the correct answer… = ?

22
Remember, if you have a quotient to a power, ALL terms receive that power Return to last slide

23
Return to The Properties

24
Now if we were to break up the previous problem as the following… Looking at the x’s being multiplied in the numerator and the y’s being multiplied in the denominator, how many of the x times themselves are in the numerator and how many of the y times themselves are in the denominator?

25
Zero Exponent Anything to the power of zero is ALWAYS equal to one x 0 = 1 Example: (4xy) 0 = 1 Now you choose the correct answer… (9x 5 yz 17 ) 0 = ? 1 0 x

26
Remember, if anything has zero as an exponent, that does NOT mean it equals zero Return to last slide

27
Return to The Properties

28
For a brief look at why anything to the power of zero is one, take a look at a few explanations here.here

29
Negative Exponents We can never have a negative exponent, so if we have one we have to MOVE the base to make it positive. If it is on top it goes to the bottom, if it is on bottom it goes to the top.x -m =or= x m Example: = x 4 Now you choose the correct answer… x -3 -x 3

30
Make sure to move the variable and make the exponent POSITIVE Return to last slide

31
Return to The Properties Take The Quiz

32
Simplify the following quiz questions using the properties of exponents that you have learned in the activity. Question #1: y 4 y 5 = ? y 20 y9y9 y 45

33
Time to head back and review the property Return to the property

34
Return to The Properties

35
Question #2: (d 6 ) 3 = ? d 63 d9d9 d 18

36
Time to head back and review the property Return to the property

37
Return to The Properties

38
Question #3: (ab) 5 = ? a5b5a5b5 ab 5 a5ba5b

39
Time to head back and review the property Return to the property

40
Return to The Properties

41
Question #4: = ? x2x2 x4x4 x 32

42
Time to head back and review the property Return to the property

43
Return to The Properties

44
Question #5: = ?

45
Time to head back and review the property Return to the property

46
Return to The Properties

47
Question #6: (97rst) 0 = ?

48
Time to head back and review the property Return to the property

49
Return to The Properties

50
Question #7: = ? a6a6 -a 6 a -6

51
Time to head back and review the property Return to the property

52
Return to The Properties

53
Question #8: (x 2 y 3 ) 4 = ? x6y7x6y7 xy 9 x 8 y 12

54
Be careful, you are using more than one property at a time here Return to the problem

55
Return to The Properties

56
Question #9: (x 4 y 5 ) 2 ∙ (x 3 y 2 ) 3 = ? x 17 y 16 x 72 y 60 x 36 y 42

57
Be careful, you are using more than one property at a time here Return to the problem

58
Return to The Properties

59
Question #10: = ?

60
Be careful, you are using more than one property at a time here Return to the problem

61
Congratulations! You really know your exponent properties! Show Mr. Preiss this screen so can award you full credit for completing this activity.

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google