1 / 14

7.1 n th roots & Rational Exponents

7.1 n th roots & Rational Exponents. 7.2 Properties of Rational Exponents. (p. 407). Review of Properties of Exponents from section 6.1. a m * a n = a m+n (a m ) n = a mn (ab) m = a m b m a -m = = a m-n =. These all work for fraction exponents as well as integer exponents.

jadyn
Télécharger la présentation

7.1 n th roots & Rational 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. 7.1 nth roots & Rational Exponents

  2. 7.2 Properties of Rational Exponents (p. 407)

  3. Review of Properties of Exponents from section 6.1 • am * an = am+n • (am)n = amn • (ab)m = ambm • a-m = • = am-n • = These all work for fraction exponents as well as integer exponents.

  4. 61/2 * 61/3 = 61/2 + 1/3 = 63/6 + 2/6 = 65/6 b. (271/3 * 61/4)2 = (271/3)2 * (61/4)2 = (3)2 * 62/4 = 9 * 61/2 (43 * 23)-1/3 = (43)-1/3 * (23)-1/3 = 4-1 * 2-1 = ¼ * ½ = 1/8 d. = = = Ex: Simplify. (no decimal answers) ** All of these examples were in rational exponent form to begin with, so the answers should be in the same form!

  5. Ex: Simplify. = = = 5 = = = 2 Ex: Write the expression in simplest form. = = = = = = = Can’t have a tent in the basement! ** If the problem is in radical form to begin with, the answer should be in radical form as well.

  6. 5(43/4) – 3(43/4) = 2(43/4) b. = = = c. = = = Ex: Perform the indicated operation If the original problem is in radical form, the answer should be in radical form as well. If the problem is in rational exponent form, the answer should be in rational exponent form.

  7. More Examples a. b. c. d.

  8. Ex: Simplify the Expression. Assume all variables are positive. a. • (16g4h2)1/2 = 161/2g4/2h2/2 = 4g2h c. d.

  9. Ex: Write the expression in simplest form. Assume all variables are positive. a. b. No tents in the basement! c. ** Remember, solutions must be in the same form as the original problem (radical form or rational exponent form)!!

  10. d. Can’t have a tent in the basement!!

  11. Ex: Perform the indicated operation. Assume all variables are positive. a. b. c. d.

  12. e.

  13. Assignment:page 411# 24-80 x4

More Related