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(216x^9)^2/3

 Sep 28, 2016
 #1
avatar+14985 
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(216x^9)^2/3

 

\(\left(216x^{9} \right) ^{\frac{2}{3} } \)\(\) \(\sqrt[3]{46656x^{18} } \)  =  \({\color{blue}36x^6}\)

 

 

 

\(\frac{\left(216\times x^{9}\right)^2 }{3} \) = \(\frac{46656x^{18} }{3} = {\color{blue}15552x^{18} }\)

 

asinus :- )  laugh !

 Sep 28, 2016
 #2
avatar+33653 
0

Your second step is irrelevant asinus!

 

\((216x^9)^{2/3} \rightarrow(216^{1/3}x^{9\times1/3})^2 \rightarrow (6x^3)^2 \rightarrow 6^2x^{3\times2}\rightarrow 36x^6\)

.

 Sep 28, 2016
 #3
avatar+33653 
0

Oh, ok asinus, I see you have assumed the original might have been such that the 3 is not part of the exponent, which is strictly correct according to the normal hierarchy rules.  However, it's extremely unlikely that that is what is meant in this sort of question I could be wrong of course!).

Alan  Sep 28, 2016
 #4
avatar+14985 
0

Alan, I expected a precaution both possibilities.
Thanks for your comment!

asinus :- ) smiley !

asinus  Sep 28, 2016

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