Paul's Online Math Notes
[Notes]
Algebra - Notes

Internet Explorer 10 & 11 Users : If you have been using Internet Explorer 10 or 11 to view the site (or did at one point anyway) then you know that the equations were not properly placed on the pages unless you put IE into "Compatibility Mode". I beleive that I have partially figured out a way around that and have implimented the "fix" in the Algebra notes (not the practice/assignment problems yet). It's not perfect as some equations that are "inline" (i.e. equations that are in sentences as opposed to those on lines by themselves) are now shifted upwards or downwards slightly but it is better than it was.

If you wish to test this out please make sure the IE is not in Compatibility Mode and give it a test run in the Algebra notes. If you run into any problems please let me know. If things go well over the next week or two then I'll push the fix the full site. I'll also continue to see if I can get the inline equations to display properly.
 Next Chapter Solving Equations and Inequalities Rational Exponents Previous Section Next Section Radicals

## 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

[Notes]

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