SOLUTION: Instructions say to solve and find the exact solutions. Please help with this one... X^(4/3) = 1/16 Thank you..

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Question 149481This question is from textbook
: Instructions say to solve and find the exact solutions. Please help with this one...
X^(4/3) = 1/16
Thank you.. This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E%284%2F3%29+=+1%2F16+ Start with the given equation.


x%5E%281%2F3%29+=+root%284%2C1%2F16%29+ Take the 4th root of both sides.



x%5E%281%2F3%29+=+root%284%2C1%29%2Froot%284%2C16%29+ Break up the root.


x%5E%281%2F3%29+=+1%2F2+ Take the 4th root of 1 to get 1. Take the 4th root of 16 to get 2.

x+=+%281%2F2%29%5E3+ Cube both sides.


x+=+1%2F8+ Cube 1%2F2 to get 1%2F8