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what is 1024^(2/5) simplified to?

 Oct 20, 2014

Best Answer 

 #2
avatar+23254 
+5

In the exponent  2/5,  the 2 means to square the number and the 5 means find the fifth root (these can be done in either order).

1024^2  =  1 048 576  and the fifth root of  1 048 576  is  16

the fifth root of  1024  is  4  and  4^1  =  16

 Oct 20, 2014
 #1
avatar+130511 
+5

1024^(2/5) =

[1024^(1/5)]^(2) =

4^2 =

16

 

 Oct 20, 2014
 #2
avatar+23254 
+5
Best Answer

In the exponent  2/5,  the 2 means to square the number and the 5 means find the fifth root (these can be done in either order).

1024^2  =  1 048 576  and the fifth root of  1 048 576  is  16

the fifth root of  1024  is  4  and  4^1  =  16

geno3141 Oct 20, 2014

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