Evaluate. Give your answers as fractions.
$\left(-343\right)^{\frac{1}{3}}$
$\left(-\frac{1}{512}\right)^{-\frac{1}{3}}$
$\left(\frac{1}{81}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{8}\right)^{\frac{5}{3}}$
$\left(-\frac{343}{729}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{16}\right)^{\frac{1}{4}}$
$\left(\frac{343}{27}\right)^{\frac{2}{3}}$
$125^{-\frac{1}{3}}$
$\left(\frac{729}{125}\right)^{-\frac{2}{3}}$
$\left(-\frac{512}{343}\right)^{\frac{2}{3}}$
$\left(\frac{1}{729}\right)^{-\frac{2}{3}}$
$343^{\frac{1}{3}}$
$\left(-\frac{1}{343}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{1000}\right)^{\frac{2}{3}}$
$32^{\frac{2}{5}}$
$\left(\frac{1}{64}\right)^{\frac{5}{6}}$
$\left(\frac{27}{8}\right)^{-\frac{5}{3}}$
$\left(-\frac{1}{64}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{125}\right)^{-\frac{1}{3}}$
$\left(\frac{64}{125}\right)^{\frac{4}{3}}$
$\left(\frac{1}{27}\right)^{-\frac{5}{3}}$
$8^{-\frac{4}{3}}$
$\left(-27\right)^{-\frac{4}{3}}$
$\left(\frac{1}{144}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{64}\right)^{-\frac{1}{2}}$
$\left(-\frac{512}{125}\right)^{-\frac{2}{3}}$
$\left(-343\right)^{\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{1}{3}}$
$\left(-1000\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{\frac{1}{5}}$
$\left(-\frac{27}{8}\right)^{\frac{5}{3}}$
$\left(-32\right)^{-\frac{2}{5}}$
$\left(-32\right)^{\frac{3}{5}}$
$8^{-\frac{2}{3}}$
$8^{\frac{4}{3}}$
$8^{-\frac{1}{3}}$
$\left(-\frac{1}{216}\right)^{-\frac{2}{3}}$
$\left(-216\right)^{-\frac{1}{3}}$
$\left(-1000\right)^{\frac{1}{3}}$