SOLUTION: Simplify {{{root(5,(32x^16)/(y^25))}}}

Algebra ->  Radicals -> SOLUTION: Simplify {{{root(5,(32x^16)/(y^25))}}}      Log On


   

Question 126516: Simplify

root%285%2C%2832x%5E16%29%2F%28y%5E25%29%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%285%2C%2832x%5E16%29%2F%28y%5E25%29%29 Start with the given expression


root%285%2C32x%5E16%29%2Froot%285%2Cy%5E25%29%29 Break up the root


%282%2Ax%5E3%2Aroot%285%2Cx%29%29%2Froot%285%2Cy%5E25%29%29 Simplify root%285%2C32x%5E16%29 to get 2%2Ax%5E3%2Aroot%285%2Cx%29



%282x%5E3%2Aroot%285%2Cx%29%29%2F%28y%5E5%29 Simplify root%285%2Cy%5E25%29 to get y%5E5





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Answer:


So root%285%2C%2832x%5E16%29%2F%28y%5E25%29%29 simplifies to %282x%5E3%2Aroot%285%2Cx%29%29%2F%28y%5E5%29


In other words, root%285%2C%2832x%5E16%29%2F%28y%5E25%29%29=%282x%5E3%2Aroot%285%2Cx%29%29%2F%28y%5E5%29