SOLUTION: What is the fifth root of 96x^10?

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Question 150642: What is the fifth root of 96x^10?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%285%2C96x%5E10%29 Start with the given expression.


root%285%2C96%29%2Aroot%285%2Cx%5E10%29 Break up the root.


2%2Aroot%285%2C3%29%2Aroot%285%2Cx%5E10%29 Simplify root%285%2C96%29 to get 2%2Aroot%285%2C3%29.


Rewrite the radical expression into a rational expression.


Multiply the exponents.


Multiply


Reduce


So root%285%2C96x%5E10%29 simplifies to 2x%5E2%2Aroot%285%2C3%29


In other words, root%285%2C96x%5E10%29=2x%5E2%2Aroot%285%2C3%29