TABLE OF CONTENTS 1. Title Page 2. Introduction to Lesson 3. Zero Power Law 4. First Power Law 5....
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Transcript of 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 1: Write out the problem
Step 2: Look to see what power the number is being raised to, anything raised to the first power is itself
Step 3: Simplify & take away parenthesis if any
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 1: Write out the problem
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
Step 3: Simplify & take away parenthesis if any
* 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 1: Write out the problem
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
Step 4: Simplify & take away parenthesis if any
*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 1: Write out the problem
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.
Step 4: Simplify & take away parenthesis if any
* 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 1: Write out the problem
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