Download presentation

Presentation is loading. Please wait.

Published byArchibald Boone Modified over 8 years ago

1
Table of Contents Rational Exponents When a base is raised to a rational exponent of the form 1/n we use the following definition: The denominator of the rational exponent … … becomes the index of the radical... …and the base of the exponential … … becomes the radicand of the radical.

2
Table of Contents Example 1 Write each of the following using radical notation. Simplify the radical if possible:

3
Table of Contents Example 2 Write each of the following in rational exponent form:

4
Table of Contents When a base is raised to a rational exponent of the form m/n we use the following definition: The numerator m becomes the …exponent.

5
Table of Contents When a base is raised to a rational exponent of the form m/n we use the following definition: The numerator m becomes the …exponent. The denominator n becomes the …index.

6
Table of Contents When a base is raised to a rational exponent of the form m/n we use the following definition: The numerator m becomes the …exponent. The denominator n becomes the …index. The base b becomes the …radicand.

7
Table of Contents Example 3 Write the following using radical notation. Simplify the radical if possible: or

8
Table of Contents or Whenever the radical can be simplified easily, the second form is the one to use. Example 4

9
Table of Contents Example 5 Write the following in rational exponent form:

10
Table of Contents When a base is raised to a negative rational exponent we use the following definition:

11
Table of Contents When a rational base is raised to a negative rational exponent we use the following: Take the reciprocal of the rational expression and make the exponent positive.

12
Table of Contents Example 6 Write the following using positive exponents. Simplify if possible:

13
Table of Contents Example 7

14
Table of Contents Example 8 Take the reciprocal of the rational expression and make the exponent positive.

15
Table of Contents Example 8

16
Table of Contents

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google