SOLUTION: Ok this is my problem. Since I don't have a "radical" key on my computer, I'm going to type it the way it would be said. Its 81x to the 4th, y to the 20th, all under a radical, rai

Algebra ->  Radicals -> SOLUTION: Ok this is my problem. Since I don't have a "radical" key on my computer, I'm going to type it the way it would be said. Its 81x to the 4th, y to the 20th, all under a radical, rai      Log On


   

Question 152886: Ok this is my problem. Since I don't have a "radical" key on my computer, I'm going to type it the way it would be said. Its 81x to the 4th, y to the 20th, all under a radical, raised to the 4th power. Help would be greatly appreciated ...I can't remember how to do these kinds of problems at all. thank you, sarah.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%284%2C81x%5E4y%5E%2820%29%29 Start with the given expression.


Rewrite the radical expression into exponential form.


Rewrite as .


Multiply the outer exponent by each of the inner exponents.


Multiply the exponents.



Reduce.


root%284%2C81%29%28xy%5E5%29 Convert back to radical notation.


3xy%5E5 Take the fourth root of to get


So root%284%2C81x%5E4y%5E%2820%29%29=3xy%5E5 where every variable is positive.