1 / 8

Section 7.6: Rational Exponents

Section 7.6: Rational Exponents. CP Algebra II. Rational Exponents. For any real number b and any positive integer n , Except when and n is even. When this happens, a complex root may exist. Write in radical form. Write in exponential form. . Rational Exponents.

claral
Download Presentation

Section 7.6: 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. Section 7.6: Rational Exponents CP Algebra II

  2. Rational Exponents • For any real number b and any positive integer n, • Except when and n is even. When this happens, a complex root may exist. • Write in radical form. • Write in exponential form.

  3. Rational Exponents • For any nonzero number b, and any integers x and y, with • Except when and y is even. When this happens, a complex root may exist. • Example:

  4. Properties of Rational Exponents • When simplifying expressions that contain rational exponents, the rules of exponents still apply. • Product of Powers • Quotient of Powers • Negative Exponents • Power of a Power • Power of a Product • Power of a Quotient • Zero Power • See Section 6.1 notes for examples

  5. Expressions with Rational Exponents • An expression with rational exponents is simplified when all of the following conditions are met: • It has no negative exponents • It has no fractional exponents in the denominator • It is not a complex fraction • The index of any remaining radical is the least number possible

  6. Examples • Simplify

  7. Simplify

  8. Homework • Section 7.6: pg. 450 (16-39)

More Related