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solve: (81^-.25)^3

they want the answer as a fraction, how should i do that?

Guest Jul 17, 2017
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3+0 Answers

 #1
avatar+178 
+2

(81^-.25) = 1/3. 1/3^3 = 1/3 * 1/3 * 1/3 = 1/27. 

PsychoBaker  Jul 17, 2017
 #2
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+1

how did you get 1/3? :)

Guest Jul 17, 2017
 #3
avatar+76145 
+2

 (81^-.25)^3

 

Note that this is really the same as

 

[ 81 ^ (-1/4)] ^3  =

 

[ 1/ 81^(1/4) ] ^3  =

 

[1 / 4√81 ]^3  = 

 

[ 1 / 3 ]^3  =  

 

1 / 27       .....just as PsychoBaker found....!!!

 

 

cool cool cool

CPhill  Jul 17, 2017

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