Learning Resources

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Outcomes

By the end of this lesson you will be able to answer questions like the ones in the pre-test below. 

First answer the questions on the pre-test below in your Math 3103 binder. Then refer to the pages of the lesson that contain instruction on the questions for which you get an incorrect answer or for which you would like some further explanation.

Alternately, you can proceed directly to the first page of the lesson without doing the pre-test. To do this simply click on the Lesson button above. You can then return to this pre-test and use it as a worksheet.

Pre-test

Simplify each of the following. Leave answers in simplest exponential form.

1.                      2.                    3. 

4.                5.                        6. 

7.                         8.                           9.    

Simplify each of the following. Write the answer as a single radical in simplest form.

10.                     11.                            12. 

Answers

By the end of this section you should be able to:

  • Define and use rational exponents in expressions.
  • Apply the Laws of Exponents to expressions containing rational exponents.
  • Relate rational exponents to radicals and use this relationship to simplify expressions.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • The definition of integral exponents.
  • How to use the laws of integral exponents to simplify expressions.
  • The definition of radical expressions
  • How to simplify radical expressions.
  • How to add, subtract, multiply, and divide radical expressions.
  • The definition of rational exponents.