1. TABLE OF CONTENTS 1. Title Page 2. Introduction to Lesson 3. Zero Power Law 4. First Power Law 5. Negative Exponent Law 6. MA Law 7. DS Law 8. PM Law 9. Answer Key Exponent Laws 1 Tayler Siminski #17 2A

2. 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

3. 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 ExamplePractice (-5) 0 1. 24,980 0 (-5) 0 2. 19 0 13. (-23) 0 3 Law #1

4. 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 ExamplePractice 2,457 1 4. 56 1 2,457 1 5. 3 1 2,4576. -27 1 4 Law #2

5. 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 ExamplePractice (5n -7 )7. 8 -1 (5/n 7 ) 8. x -4 5/n 7 9. 5 -3 5 Law #3

6. 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 ExamplePractice (2xy 7 )(-2x 3 y 3 )(-2x 6 y)10. (-w 2 z)(6z 3 )(-wz) (2 -2-2xy 7 x 3 y 3 x 6 y)11. b c c b a c (8x 1+3+6 y 7+3+1 )12. 8 2 5 2 3 2 8x 10 y 11 13. (6x 5 )(x 3 y 5 )(-2y 4 ) 6 Law #4

7. 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 ExamplePractice 16s 2 t 4 /8s 5 t 3 14. a 7 /a 10 2s 2 t 4 /1s 5 t 3 15. 12mn/12m 3 n 5 2s 2-5 t 4-3 /116. -3b 2 c 5 /12b 3 c 6 2s -3 t17. -60b 3 c 2 /24bc 2 7 Law #5

8. 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 (-7x 5 yz 8 ) 3 18. 3(10 2 3x 4 ) 2 (-7 13 x 53 y 13 z 83 )19. (-5x 2 y 8 ) 3 (-7 3 x 15 y 3 z 24 )20. -7(3x 9 ) 6 -343x 15 y 3 z 24 21. (-x 0 y 7 z 12 ) 24

9. 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. 08. 1/x 4 15. m -2 n -4 2. 09. 1/12516. 1/4bc 3. 010. 6w 3 z 5 17. -5b 2 /2 4. 5611. ab 2 c 3 18. 900x 8 5. 312. 14,40019. -125x 6 y 24 6. -2713. -12x 8 y 9 20. -5103x 54 7. ⅛14. a -3 21. – xy 168 z 288 9