SOLUTION: Simplify {{{root(4,64x^8y^10)}}}

Algebra ->  Radicals -> SOLUTION: Simplify {{{root(4,64x^8y^10)}}}       Log On


   

Question 126395: Simplify

root%284%2C64x%5E8y%5E10%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%284%2C64x%5E8y%5E10%29 Start with the given expression


root%284%2C64%29%2Aroot%284%2Cx%5E8%29%2Aroot%284%2Cy%5E10%29 Break up the root



2%2Aroot%284%2C4%29%2Aroot%284%2Cx%5E8%29%2Aroot%284%2Cy%5E10%29 Simplify root%284%2C64%29 to get 2%2Aroot%284%2C4%29


2%2Aroot%284%2C4%29%2Ax%5E2%2Aroot%284%2Cy%5E10%29 Simplify root%284%2Cx%5E8%29 to get x%5E2


2%2Aroot%284%2C4%29%2Ax%5E2%2Ay%5E2%2Aroot%284%2Cy%5E2%29 Simplify root%284%2Cy%5E10%29 to get y%5E2%2Aroot%284%2Cy%5E2%29



2x%5E2y%5E2%2Aroot%284%2C4y%5E2%29 Combine the roots and multiply





-----------------------------------------------

Answer:


So root%284%2C64x%5E8y%5E10%29 simplifies to 2x%5E2y%5E2%2Aroot%284%2C4y%5E2%29



In other words, root%284%2C64x%5E8y%5E10%29=2x%5E2y%5E2%2Aroot%284%2C4y%5E2%29