SOLUTION: What is the cubed root of negative 8/27?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the cubed root of negative 8/27?      Log On


   

Question 118057: What is the cubed root of negative 8/27?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2C-8%2F27%29 Start with the given expression


root%283%2C-8%29%2Froot%283%2C27%29 Break up the cube root using the identity root%283%2Cx%2Fy%29=root%283%2Cx%29%2Froot%283%2Cy%29


%28-2%29%2Froot%283%2C27%29 Take the cube root of -8 to get -2.


-2%2F3 Take the cube root of 27 to get 3.

So root%283%2C-8%2F27%29=-2%2F3