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(28A) Rational Exponents

Evaluate. Give your answers as fractions.

$\left(-216\right)^{-\frac{1}{3}}$
$\left(-64\right)^{\frac{1}{3}}$
$\left(-125\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{729}\right)^{\frac{1}{3}}$

$\left(-32\right)^{\frac{4}{5}}$
$\left(\frac{1}{32}\right)^{-\frac{4}{5}}$
$\left(-\frac{1}{27}\right)^{\frac{1}{3}}$
$\left(\frac{1}{81}\right)^{-\frac{3}{4}}$

$\left(-32\right)^{-\frac{3}{5}}$
$\left(\frac{1}{121}\right)^{-\frac{1}{2}}$
$343^{-\frac{2}{3}}$
$\left(-\frac{8}{27}\right)^{-\frac{2}{3}}$

$\left(-\frac{1}{729}\right)^{-\frac{1}{3}}$
$\left(\frac{1}{27}\right)^{\frac{1}{3}}$
$\left(-\frac{64}{125}\right)^{\frac{4}{3}}$
$100^{-\frac{1}{2}}$

$\left(\frac{1}{8}\right)^{\frac{4}{3}}$
$\left(-\frac{1}{216}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{-\frac{3}{5}}$
$\left(\frac{1}{32}\right)^{\frac{2}{5}}$

$32^{-\frac{4}{5}}$
$\left(-\frac{1}{125}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{5}{3}}$
$\left(-32\right)^{\frac{3}{5}}$

$\left(-\frac{1}{27}\right)^{-\frac{5}{3}}$
$\left(\frac{125}{64}\right)^{\frac{4}{3}}$
$\left(\frac{343}{8}\right)^{\frac{2}{3}}$
$\left(\frac{125}{343}\right)^{-\frac{2}{3}}$

$1000^{\frac{1}{3}}$
$64^{-\frac{1}{6}}$
$\left(\frac{729}{125}\right)^{-\frac{2}{3}}$
$25^{\frac{1}{2}}$

$\left(-\frac{125}{216}\right)^{-\frac{2}{3}}$
$\left(-125\right)^{\frac{1}{3}}$
$729^{\frac{2}{3}}$
$\left(\frac{1}{4}\right)^{\frac{1}{2}}$

$\left(-27\right)^{-\frac{4}{3}}$
$\left(\frac{1}{4}\right)^{-\frac{1}{2}}$
$\left(-\frac{64}{729}\right)^{\frac{2}{3}}$
$8^{\frac{5}{3}}$