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Rational Exponents

Evaluate. Give your answers as fractions.

$8^{\frac{1}{3}}$
$216^{\frac{1}{3}}$
$\left(-1000\right)^{\frac{1}{3}}$
$\left(-729\right)^{\frac{1}{3}}$

$64^{-\frac{1}{2}}$
$27^{-\frac{1}{3}}$
$\left(-32\right)^{-\frac{1}{5}}$
$\left(-8\right)^{-\frac{1}{3}}$

$\left(\frac{1}{144}\right)^{\frac{1}{2}}$
$\left(\frac{1}{343}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{64}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{1}{3}}$

$\left(\frac{1}{32}\right)^{-\frac{1}{5}}$
$\left(\frac{1}{25}\right)^{-\frac{1}{2}}$
$\left(-\frac{1}{64}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{729}\right)^{-\frac{1}{3}}$

$125^{\frac{2}{3}}$
$216^{\frac{2}{3}}$
$\left(-64\right)^{\frac{2}{3}}$
$\left(-8\right)^{\frac{4}{3}}$

$64^{-\frac{2}{3}}$
$8^{-\frac{4}{3}}$
$\left(-343\right)^{-\frac{2}{3}}$
$\left(-32\right)^{-\frac{3}{5}}$

$\left(\frac{1}{125}\right)^{\frac{2}{3}}$
$\left(\frac{1}{32}\right)^{\frac{3}{5}}$
$\left(-\frac{1}{27}\right)^{\frac{5}{3}}$
$\left(-\frac{1}{27}\right)^{\frac{2}{3}}$

$\left(\frac{1}{64}\right)^{-\frac{5}{6}}$
$\left(\frac{1}{27}\right)^{-\frac{4}{3}}$
$\left(-\frac{1}{343}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{216}\right)^{-\frac{2}{3}}$

$\left(\frac{125}{512}\right)^{\frac{2}{3}}$
$\left(\frac{343}{216}\right)^{\frac{2}{3}}$
$\left(-\frac{32}{243}\right)^{\frac{3}{5}}$
$\left(-\frac{125}{729}\right)^{\frac{2}{3}}$

$\left(\frac{729}{8}\right)^{-\frac{2}{3}}$
$\left(\frac{27}{512}\right)^{-\frac{2}{3}}$
$\left(-\frac{729}{125}\right)^{-\frac{2}{3}}$
$\left(-\frac{216}{343}\right)^{-\frac{2}{3}}$