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

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

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
how far did you get gabriel72alv?
 9 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? ):
 9 months ago

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

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

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

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Yes there are more steps.
 9 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.
 9 months ago

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
In other words, you would cube each piece.
 9 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) ?
 9 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Yes pretty much
 9 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)
 9 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
A shortcut is to use this rule \[\Large (x^m)^n = x^{m*n}\]
 9 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 ?
 9 months ago

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

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

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

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

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