1 / 14

Unit 3: Algebra: Rational Exponents and Square Root Functions

Unit 3: Algebra: Rational Exponents and Square Root Functions. 3.1 – Evaluate n th Roots and Use Rational Exponents . Georgia Performance Standards. MM3A2a Define and understand the properties of n th roots MM3A2b Extend properties of exponents to include rational exponents MM3A3d

hisoki
Download Presentation

Unit 3: Algebra: Rational Exponents and Square Root Functions

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. Unit 3: Algebra: Rational Exponents and Square Root Functions 3.1 – Evaluate nth Roots and Use Rational Exponents

  2. Georgia Performance Standards • MM3A2a • Define and understand the properties of nth roots • MM3A2b • Extend properties of exponents to include rational exponents • MM3A3d • Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil and paper, or appropriate technology

  3. Vocabulary • For an integer n greater than 1, if bn = a, then b is an nth root of a. • An nth root of a is written as where n is the index of the radical.If n is odd, then a has one real root. If n is even, then a has two real nth roots if a > 0, one real nth root if a = 0, and no real nth roots if a < 0.

  4. Radicals and rational exponents • How can you write the root of an integer using an exponent? An nth root of x is written as where n is the index of the radical. Index Radicand

  5. Radial Review – Think trees

  6. Radial Review

  7. Radial Review • Solve the Following:

  8. Radial Review Solve the Following:. -4 -3 • Solve the Following: • * • * • 2 * 3 • *

  9. Evaluate (a) 95/2 and (b) 27-2/3 Rational Exponent Form 27-2/3== = = • 95/2= (91/2)5= 35= 243

  10. Evaluate (a) 95/2 and (b) 27-2/3 Radical Form 27-2/3== = • 95/2= ()5= 35= 243

  11. Using a calculator • Calculator Steps:

  12. Solve equations using nth roots • Solve the equation: • -2x6 = -1458 • (x+2)5 = 35

  13. Solve equations using nth roots • Solve the equation. Round the result to two decimal places: • x3 + 17 = 132 • 2x5 + 73 = 53 • (x+3)4 = 362

  14. Try the following • Page 112 • 1-6 • 7-9 • 16-20 • 25-33

More Related