SOLUTION: Can someone walk me through how to solve this? Thanks! Simplify the 4th root of x^20y^28z^10

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Question 1071875: Can someone walk me through how to solve this? Thanks!
Simplify the 4th root of x^20y^28z^10

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
You divide the exponents by 4
=x^5*y^7*z^2*z(2/4); z^10 is z^2.5 or z^2 * 4th root of z^2 OR z^2* sqrt of z
sqrt is ^(1/2)
=x^5*y^7*z^2*sqrt(z)

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Can someone walk me through how to solve this? Thanks!
Simplify the 4th root of x^20y^28z^10
root+%284%2C+x%5E20y%5E28z%5E10%29
root+%284%2C+x%5E20y%5E28z%5E8+%2A+z%5E2%29 ------- Changing matrix%281%2C3%2C+z%5E10%2C+to%2C+z%5E10+%2A+z%5E2%29, the largest multiple that's less than 10
------ Dividing each variable with an exponent that's a MULTIPLE of 4, by 4
------- Moving the result OUT of the radical