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Exponent Laws: An Investigation PowerPoint Presentation
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Exponent Laws: An Investigation

Exponent Laws: An Investigation

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Exponent Laws: An Investigation

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  1. Exponent Laws: An Investigation

  2. 1st Law: Product of Powers Write the expanded form of the first product in the table.

  3. 1st Law: Product of Powers Write the expanded form of the first product in the table.

  4. 1st Law: Product of Powers Now write it as a single power.

  5. 1st Law: Product of Powers Now write it as a single power.

  6. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  7. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  8. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  9. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  10. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  11. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  12. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  13. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  14. 1st Law: Product of Powers Repeat the previous two instructions for the remaining products in the table.

  15. What pattern can be seen?

  16. In General: When multiplying powers with the same base, keep the base and add the exponents.

  17. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  18. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  19. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  20. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  21. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  22. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  23. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  24. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  25. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  26. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  27. 2nd Law: Quotient of Powers For each quotient, write both its parts in expanded form and then as a single power.

  28. What pattern can be seen?

  29. In General: When dividing powers with the same base, keep the base and subtract the exponents.

  30. 3rd Law: Powers of Powers Write each power of a power in expanded form and then as a single power.

  31. 3rd Law: Powers of Powers Write each power of a power in expanded form and then as a single power.

  32. 3rd Law: Powers of Powers Write each power of a power in expanded form and then as a single power.

  33. 3rd Law: Powers of Powers Write each power of a power in expanded form and then as a single power.

  34. 3rd Law: Powers of Powers Write each power of a power in expanded form and then as a single power.

  35. 3rd Law: Powers of Powers Write each power of a power in expanded form and then as a single power.

  36. 3rd Law: Powers of Powers Write each power of a power in expanded form and then as a single power.

  37. What pattern can be seen?

  38. In General: When writing a power of a power as a single power, keep the base and multiply the exponents.

  39. Try a few examples…

  40. Write each as a single power, then evaluate using a calculator. a) b) c)

  41. Write each as a single power, then evaluate using a calculator. a) b) c)

  42. Write each as a single power, then evaluate using a calculator. a) b) c)

  43. Write each as a single power, then evaluate using a calculator. a) b) c)

  44. Write each as a single power, then evaluate using a calculator. a) b) c)

  45. Write each as a single power, then evaluate using a calculator. a) b) c)

  46. Write each as a single power, then evaluate using a calculator. a) b) c)

  47. Now try these…

  48. Simplify. a) b) c)

  49. Simplify. a) b) c)

  50. Simplify. a) b) c)