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  Math B

Discovering the Laws of Rational Exponents


With the help of a calculator, students attempt to discover the laws of rational exponents.

Using your calculator, complete the following table.
Expression Numerical Value Expression Numerical Value
   
   
   
   
   
   

1.  What did you notice about your answers to the problems in the same rows?


2.  Is there some pattern that relates the two expressions in each row to one another?  Describe the pattern.


3.  Given the expression ,  what expression using a root symbol would yield the same numerical value?

 

4.  Given the expression , what expression utilizing a fractional exponent would yield the same numerical value?

 

 


           F. Roberts