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Activity

Section 01 Integral Exponents

Evaluate each of the following expressions:

1.                                2.                    3.    

4.                     5.                 6.

Simplify the following. Express results without negative or zero exponents.

7.                         8.                     9. 

10.                11.             12. 

Express each term in the following expression as a power of two and then simplify:

13. 

Answers

Section 02 Radicals

In each of the following, perform the indicated operations and express all answers in simplest radical form. Assume all radicals represent real numbers.

1.                 2.          3.                 4. 

5.              6.                       7.           8. 

9.          10.           11.       12. 

13.                 14.              15.                 16. 

17. Find the slope of the line through the points

18. Provide two numerical examples to show why, in general,    but .

Answers

Section 03 Rational Exponents

1. Express each of the following as a power with rational exponents:

     (a)                         (b)                           (c) 

2. Evaluate (do not use a calculator):

      (a)                        (b)                  (c) 

3.  Express as radicals in simplest terms:

     (a)                        (b)                             (c) 

4. Simplify. Leave answers in simplest exponential form:

   (a)                      (b)    

    (c)                          (d) 

5.  Simplify. Leave answer in simplest radical form:

      (a)                         (b) 

Answers

Test Yourself

Print off a copy of the following Unit Test and put it in your Math 3103 binder. Then answer the questions in your binder.

Simplify each of the following:

1.                          2.               3.   

 4.                           5.                            6.   

7.                     8.                         9.   

10.                    11.                  12. 

13.                             14.                            15.   

16.              17. 

Evaluate each of the following without the use of a calculator. Leave irrational answers in simplest radical form.

18.                       19.                   20.               21.

22. Express as a power with one base to a fractional exponent: 

Answers