1 / 11

5.7 Rational Exponents

Learn to write expressions with rational exponents in radical form, and simplify expressions in exponential or radical form. Understand the rules for rational exponents and practice simplifying techniques. Examples provided.

whickson
Download Presentation

5.7 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. 5.7 Rational Exponents Objectives: Write expressions with rational exponents in radical form, and vice-versa. Simplify expressions in exponential or radical form.

  2. Rational Exponents For any real number b and for any positive integer n, except when b<0 and n is even. (Any number raised to the ½ power is the same as the square root of the number etc.) Examples:

  3. Rational Exponents For any nonzero real number b and any integers m and n, with n>1, except when b<0 and n is even. Examples:

  4. Simplifying Rational Exponents To be considered simplified, the expression must meet the following conditions: • No negative exponents. • No fractional exponents in the denominator. • Not a complex fraction. • The index of any remaining radical is the least number possible.

  5. Write in radical form. Write using rational exponents. Examples:

  6. Writing Answers Should your answer be written with a rational exponent or as a radical? It depends on how the problem was written. If it starts out as a rational exponent, the answer should also be a rational exponent. If it starts out as a radical, the answer should be expressed as a radical.

  7. Simplify Examples

  8. Simplify More Examples

  9. Example Simplify

  10. Rationalizing with Binomials Rationalize:

  11. Homework Page 261 22-60 even

More Related