1 / 14

Exponent Properties

Exponent Properties. For all real numbers n , m , x , y. (except that 0 0 is undefined, and denominators can never be zero). Exponent Properties. Exponent Properties. Warning. Derivations. We know that. n factors. If n is a positive integer. Derivations. Consider. When n > m.

Download Presentation

Exponent Properties

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. Exponent Properties • For all real numbers n, m, x, y • (except that 00 is undefined, and denominators can never be zero)

  2. Exponent Properties

  3. Exponent Properties Warning

  4. Derivations • We know that n factors If n is a positive integer

  5. Derivations • Consider When n > m

  6. Derivations • For Example

  7. Derivations • So adopt the rule

  8. Derivations • Now suppose n = m

  9. Derivations • But we know that

  10. Derivations • And so it must be true that

  11. Derivations • Now suppose n < m, for example:

  12. Derivations • But our rule says

  13. Derivations • So we must conclude that

  14. Derivations • Or in general,

More Related