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(28A) Rational Exponents

Evaluate. Give your answers as fractions.

$\left(-\frac{1}{32}\right)^{-\frac{4}{5}}$
$\left(-8\right)^{-\frac{4}{3}}$
$\left(-\frac{1}{1000}\right)^{\frac{1}{3}}$
$\left(-\frac{729}{343}\right)^{\frac{2}{3}}$

$\left(-\frac{216}{125}\right)^{-\frac{2}{3}}$
$\left(-8\right)^{\frac{5}{3}}$
$\left(\frac{1}{9}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{64}\right)^{-\frac{1}{2}}$

$\left(\frac{343}{216}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{125}\right)^{\frac{2}{3}}$
$81^{-\frac{1}{4}}$
$\left(-\frac{1}{729}\right)^{-\frac{1}{3}}$

$\left(-216\right)^{\frac{2}{3}}$
$64^{\frac{1}{2}}$
$\left(-\frac{729}{64}\right)^{-\frac{2}{3}}$
$\left(-64\right)^{-\frac{1}{3}}$

$32^{\frac{4}{5}}$
$\left(\frac{1}{216}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{512}\right)^{\frac{1}{3}}$
$\left(\frac{27}{8}\right)^{\frac{5}{3}}$

$\left(\frac{1}{64}\right)^{\frac{1}{3}}$
$64^{-\frac{5}{6}}$
$\left(-\frac{1}{125}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{64}\right)^{-\frac{1}{3}}$

$\left(\frac{27}{125}\right)^{-\frac{2}{3}}$
$1000^{-\frac{2}{3}}$
$\left(-64\right)^{\frac{1}{3}}$
$\left(\frac{1}{512}\right)^{\frac{1}{3}}$

$\left(-1000\right)^{\frac{1}{3}}$
$25^{\frac{1}{2}}$
$\left(\frac{1}{27}\right)^{-\frac{5}{3}}$
$\left(\frac{1}{64}\right)^{-\frac{5}{6}}$

$\left(-216\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{1000}\right)^{\frac{2}{3}}$
$81^{\frac{3}{4}}$
$\left(-\frac{343}{216}\right)^{\frac{2}{3}}$

$\left(\frac{343}{512}\right)^{\frac{2}{3}}$
$81^{-\frac{1}{2}}$
$\left(\frac{1}{16}\right)^{\frac{5}{4}}$
$\left(-1000\right)^{-\frac{1}{3}}$