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(28A) Rational Exponents

Evaluate. Give your answers as fractions.

$81^{-\frac{1}{2}}$
$\left(-32\right)^{-\frac{3}{5}}$
$\left(-\frac{1}{32}\right)^{-\frac{1}{5}}$
$\left(-1000\right)^{\frac{1}{3}}$

$125^{\frac{2}{3}}$
$\left(-\frac{216}{343}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{27}\right)^{\frac{2}{3}}$
$\left(-27\right)^{-\frac{5}{3}}$

$\left(-1000\right)^{-\frac{1}{3}}$
$\left(-\frac{343}{1000}\right)^{-\frac{2}{3}}$
$\left(-27\right)^{\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{\frac{1}{5}}$

$81^{-\frac{5}{4}}$
$\left(-\frac{1}{64}\right)^{-\frac{1}{3}}$
$343^{-\frac{1}{3}}$
$\left(\frac{729}{64}\right)^{-\frac{2}{3}}$

$\left(\frac{1}{27}\right)^{-\frac{2}{3}}$
$\left(-\frac{64}{27}\right)^{\frac{4}{3}}$
$32^{-\frac{4}{5}}$
$\left(\frac{1}{32}\right)^{-\frac{4}{5}}$

$\left(-\frac{1}{216}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{81}\right)^{\frac{1}{4}}$
$100^{\frac{1}{2}}$
$\left(\frac{125}{27}\right)^{\frac{4}{3}}$

$\left(\frac{1}{64}\right)^{\frac{1}{6}}$
$\left(-\frac{1}{27}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{4}{3}}$
$\left(-343\right)^{\frac{2}{3}}$

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

$\left(\frac{1}{16}\right)^{\frac{5}{4}}$
$\left(-\frac{1}{27}\right)^{\frac{4}{3}}$
$\left(-64\right)^{-\frac{1}{3}}$
$27^{\frac{1}{3}}$

$\left(\frac{1}{64}\right)^{-\frac{1}{6}}$
$\left(-8\right)^{\frac{2}{3}}$
$\left(\frac{8}{27}\right)^{-\frac{4}{3}}$
$\left(\frac{64}{125}\right)^{\frac{4}{3}}$