SOLUTION: I am sure this a simple problem to solve because I have done these types of problems in school but since it is summer I completly forgot how to solve this! Here is the problem:

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Question 625163: I am sure this a simple problem to solve because I have done these types of problems in school but since it is summer I completly forgot how to solve this! Here is the problem:
Simplify:
[x^(-1/4)/x^(-5)]^(1/5)
Please help I am stumped!

Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28x%5E%28-1%2F4%29%2Fx%5E%28-5%29%29%5E%281%2F5%29
Multiply NUM and DEN x^5
= %28x%5E%285-1%2F4%29%2Fx%5E%280%29%29%5E%281%2F5%29
x^0 = 1
= %28x%5E%284.75%29%29%5E%281%2F5%29
= x%5E0.95
or
= root%2820%2Cx%5E19%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
I am sure this a simple problem to solve because I have done these types of problems in school but since it is summer I completly forgot how to solve this! Here is the problem:
Simplify:
[x^(-1/4)/x^(-5)]^(1/5)
Please help I am stumped!

This is a simplification problem, not one to be solved

%28x%5E%28-1%2F4%29%2Fx%5E%28-5%29%29%5E%281%2F5%29

%28x%5E%28%28-+1%29%2F4+-+-+5%29%29%5E%281%2F5%29

%28x%5E%28%28-+1%29%2F4+%2B+5%29%29%5E%281%2F5%29

%28x%5E%28%28-+1+%2B+20%29%2F4%29%29%5E%281%2F5%29

%28x%5E%2819%2F4%29%29%5E%281%2F5%29

x%5E%28%2819%2F4%29%281%2F5%29%29

highlight_green%28%28x%5E%2819%2F20%29%29%29 ------- x to the highlight_green%2819%2F20%29th power, or highlight_green%28x%5E0.95%29.

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