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avatar+7220 

\(\text{What is}\sqrt[\frac{1}{5}]{3}\space? \text{Is it }3^5\space?\)

 Jul 16, 2016

Best Answer 

 #3
avatar+135 
+10

\(\sqrt[1/5]{3} = 3^{\frac{1}{\frac{1}{5}}} = 3^5 , \)Am I right?

 Jul 16, 2016
 #1
avatar+135 
+5

I don't have any thought , do you have any hint , 'cause you said you realized it is easy 

 Jul 16, 2016
 #2
avatar+7220 
+10

\(\sqrt[n]{3}=3^{\frac{1}{n}}\)

MaxWong  Jul 16, 2016
 #3
avatar+135 
+10
Best Answer

\(\sqrt[1/5]{3} = 3^{\frac{1}{\frac{1}{5}}} = 3^5 , \)Am I right?

pro35hp  Jul 16, 2016
 #4
avatar+7220 
+5

I think it is. :D

 Jul 16, 2016
 #5
avatar+7220 
0

Anyone online!! Is it right?

MaxWong  Jul 16, 2016
 #6
avatar
+5

In general: x^(a/b) =bth root of x^a.E.G. 4^(3/5) =5th root of 4^3=64^(1/5)

 Jul 16, 2016
 #7
avatar+7220 
+5

I understood this but I just realized that \(\sqrt[\frac{1}{n}]{a^m}=a^{mn}\)

MaxWong  Jul 16, 2016
 #8
avatar+97561 
+5

I have never seen a root written like that before but I would say that you are both correct :)

 Jul 16, 2016

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