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Division Properties of Exponents: Simplifying Expressions

Learn to apply the dividing like bases and quotient raised to a power properties of exponents. Practice simplifying expressions using division properties and raising quotients to a power.

phillip-contreras
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Division Properties of Exponents: Simplifying Expressions

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  1. Warm-Up • Simplify 3(1)0 -7x-3·6x4 (7x)2y3x (k2)4 (x9)0(x7)2

  2. Homework Review P. 453 #22-54E 22. 310 or 59,049 24. 26 or 64 26. x7 28. 4x2 30. 4m8n12 32. (-5)10x10y10 or 9,765,625x10y10 34. Skip! 

  3. 36. 55a8 or 3125a8 38. -3888a7 40. 18x5 42. –a5b3 44. 8x5y3 46. 125/4 b12 48. -8t5 50. y12 52. a7b5c6 54. -108x7y8

  4. Section 8.5Division Properties of Exponents

  5. Objectives • Students will be able to • Apply the dividing like bases and a quotient raised to a power properties of exponents along with all of the previously learned properties of exponents

  6. Division Properties Dividing Like Bases: When dividing powers with the same base, SUBTRACT the exponents.

  7. Dividing Like BasesExponents with like BasesExplanation • If bases are alike and division is the operation then we can cancel

  8. Practice

  9. Simplify. 3) 1) 2) 4)

  10. Division Properties Raising a Quotient to a Power: Examples:

  11. Raising a Quotient to a PowerExplanation 1 1 1 1 1

  12. More Examples

  13. More Examples

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