Paul's Online Notes
Paul's Online Notes
Home / Algebra / Preliminaries / Integer Exponents
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best viewed in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (you should be able to scroll/swipe to see them) and some of the menu items will be cut off due to the narrow screen width.

Section 1.1 : Integer Exponents

4. Evaluate the following expression and write the answer as a single number without exponents.

\[{2^{ - 1}} + {4^{ - 1}}\] Show Solution

There is not really a whole lot to this problem. All we need to do is the evaluations recalling the proper order of operations.

\[{2^{ - 1}} + {4^{ - 1}} = \frac{1}{2} + \frac{1}{4} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{3}{4}}}\]

It is almost always going to be best to first get rid of negative exponents prior to doing any of the rest of the evaluation work. Also, make sure you can add/subtract fractions! We’re going to be running into a lot of fractions here and you need to be able to work with those.