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Exponent Laws

Exponent Laws. Table of contents Title Page Introduction to Lesson Zero Power Law First Power Law Negative Exponent Law MA Law DS Law PM Law Answer Key . Purpose of Presentation

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Exponent Laws

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  1. Exponent Laws Table of contents Title Page Introduction to Lesson Zero Power Law First Power Law Negative Exponent Law MA Law DS Law PM Law Answer Key Tayler Siminski #17 2A

  2. 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! Introduction Overview of exponent laws presentation

  3. 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. 24,9800 (-5)0 2. 190 13. (-23)0 Zero Power Law Rule: Any number raised to the zero power equals one Law #1

  4. 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 2,4571 4. 561 2,45715. 31 2,457 6. -271 First Power Law Rule: Any number raised to the first power equals itself Law #2

  5. 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/n7) 8. x-4 5/n7 9. 5-3 Negative Exponent Law Rule: To get rid of a negative exponent, flip it’s location Law #3

  6. 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 (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) MA Law Rule: When multiplyingexponent numbers with the same base, all you have to do is add the exponents Law #4

  7. 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 16s2t4/8s5t3 14. a7/a10 2s2t4/1s5t3 15. 12mn/12m3n5 2s2-5t4-3/1 16. -3b2c5/12b3c6 2s-3t 17. -60b3c2/24bc2 DS Law Rule: When dividing exponent numbers with the same base, all you have to do is subtract the exponents Law #5

  8. 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)318. 3(1023x4)2 (-71•3x5•3y1•3z8•3) 19. (-5x2y8)3 (-73x15y3z24) 20. -7(3x9)6 -343x15y3z2421. (-x0y7z12)24 PM Law Rule: Taking a power of a power and multiplying the exponents Law #6

  9. 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. -12x8y920. -5103x54 7. ⅛ 14. a-3 21. –xy168z288 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.

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