Wetzel

Math 102

9.2 – Rational Exponents

 

Laws of Exponents:

           

1.)    Product Rule: 

 

Ex.:       =___________

 

            2.)  Power Rule:  

 

                        Ex.:      = __________

 

            3.)  Quotient Rule:  

 

                        Ex.:      = __________

 

            4.)  Zero Exponent Rule:  

 

                        Ex.:      = _________                  = ___________

 

            5.)  Negative Exponent Rule:             likewise,  

 

                        Ex.:      = __________

 

            6.)  Distributive Property:         

 

                        Ex.:      = ___________

 

 

 

 

 

 

 

Two Ways of Writing Radicals:

 

I.)                 Radical Form:              

 

II.)       Exponential Form:        

 

 

 

Examples:   Rewrite in Exponential Form.

 

1.)                                              2.)                                         3.)           

 

 

 

 

4.)                                          5.)                                          6.) 

 

 

 

 

 

Examples:   Rewrite in Radical Form.

 

1.)                                                   2.)                                       3.)