Hello, everybody. A problem I was assigned to solve was the following, where I needed to condense the expression into one single radical:
Here's my steps for solving it:
However, the book gives the answer as . I don't understand why this is, and I would greatly appreciate any help in figuring so out. :] Thank you much.
Thank you very much for your reply. However, I'm still a little unsure as to how you got the 36 and the 8 in the steps which you showed me. I understand now that I cannot add the indices as I had done. Further help would be greatly appreciated. :] Thanks again.
Thank you much for clarifying. Are these rules particular to these kinds of problems, with fractionized exponents? I was following the rule I saw in my textbook when I added the indices with that multiplication problem. The example is shown in my workbook as so:
However, I notice that they both use x and not different numbers like the example which I gave you. I would like for this to be as clear as possible for myself so that I won't have any trouble further down the road. :] Thank you very much for your help and your time.
that one is slightly different....
In that case you add the exponents because x is a particular value.
You need to know the difference between when you add or multiply the exponents.
That's 5 twos multiplied together, so it's
which is 6 twos multiplied together, so it's
Also, as in your earlier example
since and so on
Thank you very much. It makes sense to me. These little rules are things I tend to forget every once in a while if I don't use them or think about them as I should, but I'm hoping they stick if I keep practicing. :] I appreciate all your help and I'm sure you'll be seeing more from me in the future... haha :]