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.
Colton
Archie Meade,
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.
Colton
Archie Mead,
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.
Colton
Hi colton,
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.
For example......
That's 5 twos multiplied together, so it's
However
which is 6 twos multiplied together, so it's
Also, as in your earlier example
since and so on
Archie Meade,
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 :]
Colton