1 / 15

Fractional Indices

Fractional Indices. Oh Boy . What is to be learned?. What fractional indices are How to write fractional indices as roots How to evaluate fractional indices. Other Roots. Square Root √ √16 = 4 (because 4 2 = 16) Should really be written as 2 √. Cubic Root.

nanette
Télécharger la présentation

Fractional Indices

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. Fractional Indices Oh Boy 

  2. What is to be learned? • What fractional indices are • How to write fractional indices as roots • How to evaluate fractional indices

  3. Other Roots Square Root √ √16 = 4 (because 42 = 16) Should really be written as 2√

  4. Cubic Root 23 = 8 33 = 27 43 = 64 53 = 125 so 3√64 = 4 3√1000 =10

  5. And There’s more!!!!!! We can make roots by reversing any power 24 = 16 so 4√16 = 2 (quartic root) 5√243? (quintic root- to be hereafter known as 5th root!) = 3

  6. Handy Powers – As well as squares 23 = 8 33 = 27 43 = 64 53 = 125 24 = 16 34= 81 44 = 256 54 = 625 25 = 32 35 = 243 Also 103 = 1000 104 = 10000 etc.

  7. What has this to do with indices? ½ 2√a same as a 3√a = a Rule p√a = a (root is number on the bottom!) 1/3 1/p

  8. ½ Ex 1 25 = 2√25 = 5 Ex 2. 125 = 3√125 = 5 1/3

  9. Fractional Indices - Basic • Indices that are fractions • The root is the number on the bottom Rule e√a = a 81 16 1/e ½ = 9 = 2√81 ¼ = 4√16 = 2 (because 24 = 16)

  10. You Try 1/3 ½ 1. 49 2. 27 3. 100 4. 16 5. 144 6. 64 7. 400 8. 10000 = 7 = 3 ½ ¼ = 10 = 2 1/3 ½ = 12 = 4 ¼ ½ = 20 = 10

  11. 3/2 What about a Root still on bottom Top number is power Ex1 25 =(2√25) = 5 = 125 3/2 3 3

  12. 5/3 Ex. 2 8 = (3√8) = 2 = 32 5 5

  13. Fractional Indices - Nastier • The root still on the bottom • Top number is the power. Rule (e√a )f= a f/e

  14. 3/2 16 = (2√16) = 4 = 64 3 3

  15. You Try 2/3 3/2 1. 162. 1000 3. 324. 49 5. 64 6. 81 Then p211 Q 1 = 100 = 64 4/5 3/2 = 16 = 343 2/3 ¾ = 16 = 27

More Related