Division of numbers in exponential form
- 1. HOUSEKEEPING Yesterday we looked at the multiplication property of exponents. You learned that when multiplying powers with the same bases, you simply add the exponents. Today & Friday – MAP testing 9:00 am or 2:00 pm
- 3. GOAL FOR TODAY……. Goal: Be able to apply properties of exponents to generate equivalent numerical expressions Agenda: Review – Multiplication Property Division Property
- 6. Simplify the expression by writing the product of two powers as one power. 56 ∙ 53 a.) 259 b.) 59 c.) 518 d.) 253 e.) none of the above
- 7. Congratulations!!! You just won a piece of gum!
- 9. GOAL FOR TODAY……. Goal: Be able to apply properties of exponents to generate equivalent numerical expressions Agenda: Review – Multiplication Property Division Property
- 10. 5 5 5 55 53 = 5 5 5 5 5 = 5 5 = 52= 5 5 5 5 5 5 5 5 Notice what occurs when you divide powers with the same base.
- 11. 5 5 5 55 53 = 5 5 5 5 5 = 5 5 = 52= 5 5 5 5 5 5 5 5 Notice what occurs when you divide powers with the same base.
- 13. 7 5 7 3 Example: Dividing Powers with the Same Base Divide. Write the quotient as one power.
- 14. Subtract exponents. 7 2 75 – 3 7 5 7 3 Example: Dividing Powers with the Same Base Divide. Write the quotient as one power.
- 15. Example: Dividing Powers with the Same Base Divide. Write the quotient as one power. x 9 x 10
- 16. Example: Dividing Powers with the Same Base Divide. Write the quotient as one power. x 9 x 10 Subtract exponents.x9-10 x Think: x = x1-1
- 17. 3 -5 3 -2 Example: Dividing Powers with the Same Base Divide. Write the quotient as one power.
- 18. 3 -5 3 -2 Example: Dividing Powers with the Same Base Divide. Write the quotient as one power. Subtract exponents. 3 -3 3-5 – (-2) * Use caution with negative exponents!!!
- 19. Example: Dividing Powers with the Same Base Divide. Write the quotient as one power.
- 20. Example: Dividing Powers with the Same Base Divide. Write the quotient as one power.
- 21. Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.
- 22. Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.
- 23. Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.
- 24. Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.
- 25. Example: Multiplication & Division with Exponents Simplify. Express your answer as a single term, without a denominator 𝑞4 𝑞5 ∙ 𝑞3
- 26. Example: Multiplication & Division with Exponents Simplify. Express your answer as a single term, without a denominator 𝑑3 ∙ 𝑑9 𝑑5
- 27. Example: Multiplication & Division with Exponents Simplify. Express your answer as a single term, without a denominator 𝑏8 ∙ 𝑏3 ∙ 𝑏8
- 28. Example: Multiplication & Division with Exponents Simplify. Express your answer as a single term, without a denominator
- 29. GOAL FOR TODAY……. Goal: Be able to apply properties of exponents to generate equivalent numerical expressions Agenda: Review – Multiplication Property Division Property
- 30. WRAP UP If you have the same bases, add the exponents when multiplying. If you have the same bases, subtract the exponents when dividing