SOLUTION: I do not know how to work this problem. Can you please work this problem step by step resulting in an answer, so that I will be able to grasps how to work it. ^5√x^4y^6 _

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I do not know how to work this problem. Can you please work this problem step by step resulting in an answer, so that I will be able to grasps how to work it. ^5√x^4y^6 _      Log On


   

Question 91257This question is from textbook Intermediate Algebra
: I do not know how to work this problem. Can you please work this problem step by step resulting in an answer, so that I will be able to grasps how to work it.
^5√x^4y^6
__________
Z^5
The entire problem is under the square root symbol. all of the
numbers are exponents.

Thank you This question is from textbook Intermediate Algebra

Found 2 solutions by THANApHD, jim_thompson5910:
Answer by THANApHD(104) About Me  (Show Source):
You can put this solution on YOUR website!

Actually U'r problem does not tell what to solve for or simplify

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%285%2Cx%5E4y%5E6%2Fz%5E5%29

root%285%2Cx%5E4y%5E6%29%2Froot%285%2Cz%5E5%29 Break up the root using the identity root%28n%2Cx%2Fy%29=root%28n%2Cx%29%2Froot%28n%2Cy%29

root%285%2Cx%5E4y%5E6%29%2Fz Take the fifth root of z%5E5 to get z

root%285%2Cx%5E4y%2Ay%5E5%29%2Fz Factor x%5E4y%5E6 into x%5E4y%2Ay%5E5

root%285%2Cx%5E4y%29%2Aroot%285%2Cy%5E5%29%2Fz Break up the root using the identity root%28n%2Cx%2Ay%29=root%28n%2Cx%29%2Aroot%28n%2Cy%29

root%285%2Cx%5E4y%29%2Ay%2Fz Take the fifth root of y%5E5 to get y


y%2Aroot%285%2Cx%5E4y%29%2Fz Rearrange the terms