table of contents 1. title page 2. introduction to lesson 3. zero power law 4. first power law 5....

Tayler Siminski #17 2A

TA B L E O F C O N T E N T S

1. T i t l e Pa g e

2. I n t r o d u c t i o n t o L e s s o n

3. Z e r o Po w e r L a w

4. F i r s t Po w e r L a w

5. N e g a t i v e E x p o n e n t L a w

6. M A L a w

7. D S L a w

8. P M L a w

9. A n s w e r Ke y

Exponent Laws1

Introduction

Overview of exponent laws presentation

Purpose of Presentation

In this PowerPoint we will cover the basic exponent laws and learn how to

properly apply them to given situations. At the end of the presentation an answer key

will be provided to check your answers for the practice

problems. Good luck and have fun learning!

2

Zero Power Law

Rule: Any number raised to the zero power equals one

Operation Steps

Step 1: Write out the problem

Step 2: Look to see what power the number is being raised to, anything raised to the zero power is one

Step 3: Simplify & take away parenthesis if any

Example Practice

(-5)0 1. 24,9800

(-5)0 2. 190

1 3. (-23)0

3

Law #1

First Power Law

Rule: Any number raised to the first power equals itself

Operation Steps


Step 2: Look to see what power the number is being raised to, anything raised to the first power is itself


Example Practice

2,4571 4. 561

2,4571 5. 31

2,457 6. -271

4

Law #2

Negative Exponent Law

Rule: To get rid of a negative exponent, flip it’s location

Operation Steps


Step 2: Flip the location of the negative exponent and it’s base (either top flips to bottom or bottom flips to top, depending where the negative exponent is)& take away negative sign


* If there is a whole number in the problem, this number becomes your numerator/denominator depending on the given problem

Example Practice

(5n-7) 7. 8-1

(5/n7) 8. x-4

5/n7 9. 5-3

5

Law #3

MA Law

Rule: When multiplying exponent numbers with the same base, all you have to do is add the exponents

Operation Steps


Step 2: Multiply whole #’s

Step 3: Drop the base (s) & add the exponents. Remember to carry down any whole #’s from the previous step


*Only works if the number has the same base

Example Practice

(2xy7)(-2x3y3)(-2x6y) 10. (-w2z)(6z3)(-wz)

(2 •-2•-2xy7x3y3x6y) 11. b • c • c • b • a • c

(8x1+3+6y7+3+1) 12. 82 • 5 2 • 32

8x10y11 13. (6x5)(x3y5)(-2y4)

6

Law #4

DS Law

Rule: When dividing exponent numbers with the same base, all you have to do is subtract the exponents

Operation Steps


Step 2: Divide whole numbers

Step 3: Drop the base (s) & subtract exponents of the same base. Remember to carry down any whole #’s from the previous step.


* Keep coefficients and variables on the top and whole numbers should be simplified like a fraction ex. 7/21 would = 1/3

Example Practice

16s2t4/8s5t3 14. a7/a10

2s2t4/1s5t3 15. 12mn/12m3n5

2s2-5t4-3/1 16. -3b2c5/12b3c6

2s-3t 17. -60b3c2/24bc2

7

Law #5

PM Law

Rule: Taking a power of a power and multiplying the exponents

8

Law #6

Operation Steps


Step 2: Distribute the outside exponent to everything inside the parenthesis and take away outside exponent

Step 3: Multiply the exponents

Step 4: Simplify & take away parenthesis

* Don’t distribute expo to #’s outside of the ()

ExamplePractice

(-7x5yz8)3

18. 3(1023x4)2

(-71•3x5•3y1•3z8•3)19. (-5x2y8)3

(-73x15y3z24)20. -7(3x9)6

-343x15y3z24

21. (-x0y7z12)24

Answer Key

Correct your work to see how well you understand each concept. If you need extra help, see your math teacher or go on ML for extra practice.

Answers Correspond to Practice Numbers

1. 0 8. 1/x4 15. m-2n-4

2. 0 9. 1/125 16. 1/4bc

3. 0 10. 6w3z5 17. -5b2/2

4. 56 11. ab2c3 18. 900x8

5. 3 12. 14,400 19. -125x6y24

6. -27 13. -12x8y9 20. -5103x54

7. ⅛ 14. a-3 21. –xy168z288

9

table of contents 1. title page 2. introduction to lesson 3. zero power law 4. first power law 5....

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