SOLUTION: write the following in radical form. 1) x^(2/3)y^(1/3) 2)x^(3/5)y^(4/5) 9^3/2 if you can show me how you got the answers i'd love you forever!!!!

Algebra ->  Radicals -> SOLUTION: write the following in radical form. 1) x^(2/3)y^(1/3) 2)x^(3/5)y^(4/5) 9^3/2 if you can show me how you got the answers i'd love you forever!!!!      Log On


   

Question 876293: write the following in radical form.
1) x^(2/3)y^(1/3)
2)x^(3/5)y^(4/5)
9^3/2
if you can show me how you got the answers i'd love you forever!!!!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Need to Know

a%5E0+=+1

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29 ****

root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29  

x%5Em%2Fx%5En=x%5E%28m-n%29

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29

root%28n%2C+%28x%2Fy%29%29+=+root%28n%2Cx%29%2Froot%28n%2Cy%29

%28xy%29%5En+=+x%5En%2Ay%5En

x^(1/n) =+root%28n%2Cx%29   , x^(m/n) = %28root%28n%2Cx%5Em%29%29 *****

1) x^(2/3)y^(1/3)  = %28root%283%2Cx%29%5E2%29+%28root%283%2Cy%29%29+=root%283%2Cx%5E2y%29++ 

 2)x^(3/5)y^(4/5) = %28root%285%2Cx%29%5E3%29+%28root%285%2Cy%29%5E4%29+=+root%285%2Cx%5E3y%5E4%29+ 

 9^3/2 = root%282%2C9%29%5E3++=+root%282%2C729%29+=+27+