When $x = \frac{1}{8}$, evaluate the expression \[-x^\frac{1}{3} + \frac{1}{3}x^{-\frac{2}{3}} - \frac{2}{9}x^{-\frac{5}{3}}.\]
1/8 ^(1/3) = 1/2
(1/8)^(2/3) =1/4
(1/8) ^ ( 5/3) = 1/32
So we have
- (1/2) + (1/3) / (1/4) - (2/9) / (1/32) =
-1/2 + 4/3 - 64/9 =
-9/18 + 24/18 - 128 / 18 =
-113/18
OMG thx so much Cphill ur the best :DDDDD