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Laws of Exponents

Laws of Exponents. By Chancy Nordick. Review. What exactly is a power function again?. A power function has two parts:. Exponent. Base. Review Continued. Where. And. Multiplication Laws. What if we want to multiply two power functions?. Example:. Multiplication Laws. In General.

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Laws of Exponents

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  1. Laws of Exponents By Chancy Nordick

  2. Review What exactly is a power function again? A power function has two parts: Exponent Base

  3. Review Continued Where And

  4. Multiplication Laws What if we want to multiply two power functions? Example:

  5. Multiplication Laws In General Note: Bases must be the same!

  6. A few examples

  7. First Law • xm*xn = xm+n • Notice that the bases have to be the same. • Find x2*x3 • Find x3y*x4y7 • Find z2x5y9*zx7y4

  8. Multiplication Laws Now, what about powers of powers? Example:

  9. Multiplication Laws In General

  10. A few examples

  11. The Third law • (xm)n = xmn • Find (x4)5 • Find (x3y9)8 • Find (2x3y4)3

  12. Multiplication Laws Finally, how do I deal with powers of a product? Example

  13. Multiplication Laws In General

  14. Second Law • (xy)m = xmym • The base does not have to be the same here. • Find (xy)7 • Find (xy)5 • Find (2x)3

  15. Quick Review

  16. A few examples

  17. We’re done…. With the multiplication laws, before We go on….

  18. Stand up and Stretch!

  19. Onward! to the division laws

  20. Division Laws Example

  21. Division Laws In General

  22. A few Examples

  23. The Fourth Law • xm/xn = xm-n • The base has to be the same. • Find x5/x3 • Find x3y2/x2y

  24. Division Laws Similar to Multiplication

  25. Division Laws In General

  26. Examples

  27. Quick Review of Division Laws

  28. Laws of Exponents Compute: 25 Answer: 32

  29. Laws of Exponents Compute: 5-2 Answer: 1/25

  30. Laws of Exponents Compute: 02 Answer: 0

  31. Laws of Exponents Compute: 20 Answer: 1

  32. Laws of Exponents Compute: 00 Answer: ??

  33. Laws of Exponents Compute: - 42 Answer: -16

  34. Laws of Exponents Compute: (-4)2 Answer: 16

  35. Laws of Exponents Compute: - 4-2 Answer: - 1/16

  36. Laws of Exponents Compute: 0.125-2 Answer: 64

  37. Laws of Exponents Compute: (45 )(42) Answer: 47 or 16,384

  38. Laws of Exponents Compute: (45 )2 Answer: 410 or 10,485,676

  39. Laws of Exponents What is one-third of 399 ? Answer: 398

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