You should KNOW 

        1. How to interpret and calculate whole number powers, including negative powers and 0. 
        2. The Laws of Exponents on p. 11 of JIT, as well as what they DON'T say, (see p. 12), and how these are used to simplify or combine expressions with exponents.  You should understand why the simple ones are easily remembered by thinking of powers like a^4  as just  a*a*a*a.         
        3.  How to interpret and calculate fractional exponents as powers of roots, and the Laws of Exponents and Roots on p. 14-15, as well as the common errors described on p. 15, and the special considerations for even and odd roots.  
         4.  How to represent large and small real numbers approximately via scientific notation, and how what you know about  exponents can be used to simplify, calculate, and interpret answers using scientific notation.  
         5.  How to use your calculator to deal with exponents in any form, with appropriate rounding. 
   

You should be ABLE TO

         1.  Correctly perform arithmetic with exponents, roots and scientific notation by hand, and by calculator for more complicated problems.
         2.  Recognize any habitual errors you make and correct them.