SOLUTION: Factor the given expression. Express your answer so that only positive exponents occur. 8x^(1/3) - 4x^(-2/3), where x cannot be 0.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the given expression. Express your answer so that only positive exponents occur. 8x^(1/3) - 4x^(-2/3), where x cannot be 0.       Log On


   

Question 1208448: Factor the given expression. Express your answer so that only positive exponents occur.

8x^(1/3) - 4x^(-2/3), where x cannot be 0.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


8x%5E%281%2F3%29-4x%5E%28-2%2F3%29
The smallest power of x is -2/3, so factor x%5E%28-2%2F3%29 out of both terms.

And both terms have a constant factor of 4, so factor that out also.

%284x%5E%28-2%2F3%29%29%282x-1%29

Then, since the instructions say to express the result using only positive exponents, move the negative exponent from the numerator to the denominator.

ANSWER: %284%282x-1%29%29%2F%28x%5E%282%2F3%29%29