00:01
We want to rewrite the following expression using positive exponents only.
00:06
X to the power of negative 1 3rd, divided by x to the power of 1 .5.
00:12
In order to rewrite an expression involving exponents to this one, we need to have a fundamental understanding of the rules surrounding exponents and root functions.
00:22
So i've made a note of the most important rules here, a through g.
00:25
We don't need all seven of these rules for this one problem, but they allow us to solve the majority of problems like this that you might see on a test and are worth noting because of that.
00:33
I also just wanted to make a note of the fact that root a, which connects the root function, root a, x to the exponential, x to the 1 over a, is the reason that rules b through g can be used for root functions as well, even though they're only written for x -pens...