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Algebra (Notes) / Preliminaries / Real Exponents   [Notes] [Practice Problems] [Assignment Problems]

Algebra - Notes
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 Real Exponents

This is a fairly short section.  It’s only real purpose is to acknowledge that the exponent properties we listed in the first section work for any exponent.  We’ve already used them on integer and rational exponents but we aren’t actually restricted to these kinds of exponents.  The properties will work for any exponent that we want to use.

 

Example 1  Simplify each of the following and write the answers with only positive exponents.

(a)  

(b)  

Solution

We will not put as much detail into these as we have in the previous sections.  By this point it is assumed that you’re starting to get a good handle on the exponent rules.

(a)

                                              

(b)

                                

 

Note that we won’t be doing anything like this in the remainder of this course.  This section is here only to acknowledge that these rules will work for any kind of exponent that we might need to work with.

Rational Exponents Previous Section   Next Section Radicals
  Next Chapter Solving Equations and Inequalities

Algebra (Notes) / Preliminaries / Real Exponents    [Notes] [Practice Problems] [Assignment Problems]

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