CPM Homework Help : PCT Problem 9-100

Simplify: $\frac { x ^ { 8 / 3 } - x ^ { 2 / 3 } } { x ^ { 2 / 3 } + x ^ { - 1 / 3 } }$ (Hint: Clear the negative exponent.)

Step 1:

$\small \left ( \frac{x^{\frac{8}{3}}-x^{\frac{2}{3}}}{x^{\frac{2}{3}}-x^{-\frac{1}{3}}} \right )\left ( \frac{x^{\frac{1}{3}}}{x^{\frac{1}{3}}} \right )$

Step 2:

Continue simplifying.