1 / 10

Lesson 6.3: Multiplication and Exponents

Lesson 6.3: Multiplication and Exponents. To review or learn the multiplication property of exponents. To review or learn the power property of exponents. What have you learned?.

bailey
Download Presentation

Lesson 6.3: Multiplication and Exponents

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson 6.3: Multiplication and Exponents To review or learn the multiplication property of exponents. To review or learn the power property of exponents.

  2. What have you learned? • In the previous lesson you learned that exponential expressions like 200(1+0.05)3 can model a situation with a starting value of 200 and a rate of growth of 5% over three time periods.

  3. If the population of a town is 12,800 and the town’s population grows at a rate of 2.5% each year what does the expression 12800(1+0.05)3 represent? • How would you represent the growth after the fourth year? or What happens if you want to advance the growth by more than 1 year?

  4. Moving Ahead • Step 1 • Rewrite each product below in expanded form, and then rewrite it in exponential form with a single base. Use your calculator to check your answer.

  5. Moving Ahead • Step 2 • Compare the exponents in each final expression you got in Step 1 to the exponents in original product. Describe a way to find the exponents in the final expression without using expanded form.

  6. Moving Ahead • Step 3 • Generalize your observation:

  7. Moving Ahead • Step 4 • The number of ants in a colony after 5 weeks is 16(1+0.5)5 . What does the expression 16(1+0.5)5 ∙(1+0.5)3 mean in this situation? Rewrite the expression with a single exponent. • The depreciation value of a truck after 7 years is 11,500(1-0.2)7 . What does the expression 11,500(1-0.2)7 (1-0.2)2 mean in this situation? • The expression A(1+r)n can model n time periods, what does A(1+r)n+m model? • Step 5 • How does looking ahead in time with an exponential model relate to multiplying expressions with exponents?

  8. For any nonzero value of b and any integer value of m and n,

  9. Example A Who’s right? • Cal: 34∙22 is in simplest form because the numbers have different bases. • Al: 34∙22 =66 because 3▪2=6, and the multiplication property of exponents says to add the exponents. Since the bases are not all the same you cannot use a single exponent.

  10. Example 5 • Rewrite each expression without parentheses.

More Related