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freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
Convert them to exponents and then divide. \[\sqrt[n]{a} = a^{1/n}\]
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
So for example \[\sqrt[4]{x^3}\text{ divided by }\sqrt[3]{x^2} \] would be \[\frac{x^{\frac{3}{4}}}{x^{\frac{2}{3}}}\] or \[x^{\frac{3}{4}\frac{2}{3}}\]
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
Which would then be \[x^{\frac{1}{12}}=\sqrt[12]{x}\]
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
Sometimes the test wants you to give you answer in terms of a radical, then you might have to convert it back. If they will accept the exponent version, then that is the way to go.
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
yes, what is \[\frac{x^{5/12}}{x^{1/6}}\] Just because they want it in radical form as the answer doesn't mean that you can't do all the work in exponent form and then reconvert. \[\frac{x^a}{x^b}=x^{ab}\] This seems easier to me than trying to figure out the radical forms.
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
Um. No. What is \[\frac{5}{12}\frac{1}{6}\]?
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
You are forgetting to put them into common denoms. 5\12  1\6 = 5\12 2\12 = 3\12 = 1\4
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
When you divide same base different exponents you subtract the exponents from one another. \[\frac{aaaaa}{aa}=\frac{a^5}{a^2}\] \[\frac{aaa}{1}\frac{aa}{aa}=aaa = a^3= a^{52}=a^3\]
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
No, x^2/3 is wrong. Sorry. If you want to do it in radical form you can. \[\frac{\sqrt[12]{x^5}}{\sqrt[6]{x}}\] can also be done realizing that \[\sqrt[5]{a} = \sqrt[10]{a^2}\] so you can do it that way. You need to convert the index 6 to a twelve
 2 years ago

gohangoku58 Group TitleBest ResponseYou've already chosen the best response.0
index 12√x^5 x index 6√x doesn't it mean, \(\huge \sqrt[12]{x^5} \times\sqrt[6]x\)
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
It does say to divide the expressions though. \[\frac{\sqrt[12]{x^5}}{\sqrt[6]{x}}\to\frac{\sqrt[12]{x^5}}{\sqrt[12]{x^2}}\to \] \[\sqrt[12]{\frac{x^5}{x^2}}\to\sqrt[12]{x^{52}}\to\sqrt[12]{x^3}\to \sqrt[4]{\sqrt[3]{x^3}}\to\sqrt[4]{x}\]
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
The main methods you need to know is that 1) \[\sqrt[5]{x} = \sqrt[10]{x^2}\] 2) \[\frac{\sqrt[12]{a}}{\sqrt[12]{b}}=\sqrt[12]{\frac{a}{b}}\] Yes the fourth root of x is the answer in radical form.
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
The reason why I suggested immediately to use your exponent conversion is that, if this is algII, you probably learned the exponent rules prior to this and can then use them rather than memorize another set of rules for radicals.
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
for questions like these, you need to be able to write down the 4 or so rules of exponents and the radical methods as well. Good luck and don't give up. exponents give a lot of people confusion.
 2 years ago

gohangoku58 Group TitleBest ResponseYou've already chosen the best response.0
i hope to question was avtually to divide... its bit unclear....
 2 years ago

gohangoku58 Group TitleBest ResponseYou've already chosen the best response.0
*actually
 2 years ago

freewilly922 Group TitleBest ResponseYou've already chosen the best response.3
yes it was. I am working on the fact that it said to divide the two expressions.
 2 years ago

gohangoku58 Group TitleBest ResponseYou've already chosen the best response.0
the 'x' in middle is throwing me off...
 2 years ago

gohangoku58 Group TitleBest ResponseYou've already chosen the best response.0
can u confirm the question abbie ?
 2 years ago
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