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 views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.

### Section 1.1 : Integer Exponents

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

$- {6^2} + 4 \cdot {3^2}$ 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.

$- {6^2} + 4 \cdot {3^2} = - 36 + 4 \cdot \left( 9 \right) = - 36 + 36 = \require{bbox} \bbox[2pt,border:1px solid black]{0}$

Be careful with the first term and recall that,

$- {6^2} = - \left( {{6^2}} \right) = - \left( {36} \right) = - 36$

If we’d wanted the minus sign to also get squared we’d have written,

${\left( { - 6} \right)^2} = 36$

Always remember to be careful with exponents. The only thing that gets the exponent is the number/term immediately to the left of the exponent. If we want to include minus signs on numbers with exponents then we need to add in parenthesis.