SOLUTION: carry out the indicated operation 3rd root of 8x + 3rd root of 27x I don't know if you understand what i'm asking or not the 3 is in the Vof the root sign. if there is a way to

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: carry out the indicated operation 3rd root of 8x + 3rd root of 27x I don't know if you understand what i'm asking or not the 3 is in the Vof the root sign. if there is a way to      Log On


   

Question 150695This question is from textbook Intermediate Algebra
: carry out the indicated operation
3rd root of 8x + 3rd root of 27x
I don't know if you understand what i'm asking or not the 3 is in the Vof the root sign. if there is a way to write this on a keyboard please let me know.
thank you This question is from textbook Intermediate Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The cube root (3rd root) can be written as an exponent of 1/3, thus:
%288x%29%5E%281%2F3%29+%2B+%2827x%29%5E%281%2F3%29 Now substitute:8+=+2%5E3 and 27+=+3%5E3
%282%5E3x%29%5E%281%2F3%29+%2B+%283%5E3x%29%5E%281%2F3%29 Apply the power rule for exponents.%28a%5En%29%5Em+=+a%5E%28n%2Am%29
%282x%5E%281%2F3%29%29%2B%283x%5E%281%2F3%29%29 = 5x%5E%281%2F3%29