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gabriel72alv
Group Title
(3w^3 x^6)^3
Write your answer using only positive exponents.
 10 months ago
 10 months ago
gabriel72alv Group Title
(3w^3 x^6)^3 Write your answer using only positive exponents.
 10 months ago
 10 months ago

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RolyPoly Group TitleBest ResponseYou've already chosen the best response.0
\[x^{a} = \frac{1}{x^a}\]\[(xy)^m = x^my^m\]
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
Please help? I still dont understand? ):
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
how far did you get gabriel72alv?
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
I couldnt figure out how to put it in the equation I needed to solve it? ):
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
I'll do a similar example (just with different numbers) \[\Large \left(2w^{5}x^{8}\right)^{4}\] \[\Large \left(2\right)^{4}\left(w^{5}\right)^{4}\left(x^{8}\right)^{4}\] \[\Large \left((2)^{1}\right)^{4}\left(w^{5}\right)^{4}\left(x^{8}\right)^{4}\] \[\Large (2)^{1*4}w^{5*4}x^{8*4}\] \[\Large (2)^{4}w^{20}x^{32}\] \[\Large (2)^{4}w^{20}\frac{1}{x^{32}}\] \[\Large 16w^{20}\frac{1}{x^{32}}\] \[\Large \frac{16w^{20}}{x^{32}}\]
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
So would I get (3w^3/x^6)^3 ?
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Keep going. So far, so good.
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
Theres still another step? o:
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Yes there are more steps.
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
How would you work it out to get to the next step though? I understand that.
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
You would apply the outermost exponent to each term inside
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
In other words, you would cube each piece.
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
So basically would it be, (3w^3/x^6) times (3w^3/x^6) times (3w^3/x^6) ?
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Yes pretty much
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
So that explains why, for instance, in the denominator you will have x^6*x^6*x^6 = x^(6+6+6) = x^(18)
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
A shortcut is to use this rule \[\Large (x^m)^n = x^{m*n}\]
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
So would I get for my answer to that is 27w^9/x^18 ?
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
You are 100% correct. Nice work.
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
Nicee! Haa, So thats my answer? xD
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Yes it is.
 10 months ago

gabriel72alv Group TitleBest ResponseYou've already chosen the best response.1
Awesome, Thank you so much jim_thompson5910 ! (:
 10 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
you're welcome
 10 months ago
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