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Rational Exponents

Evaluate. Give your answers as fractions.

$144^{\frac{1}{2}}$
$1000^{\frac{1}{3}}$
$\left(-243\right)^{\frac{1}{5}}$
$\left(-343\right)^{\frac{1}{3}}$

$25^{-\frac{1}{2}}$
$121^{-\frac{1}{2}}$
$\left(-512\right)^{-\frac{1}{3}}$
$\left(-1000\right)^{-\frac{1}{3}}$

$\left(\frac{1}{8}\right)^{\frac{1}{3}}$
$\left(\frac{1}{64}\right)^{\frac{1}{6}}$
$\left(-\frac{1}{729}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{243}\right)^{\frac{1}{5}}$

$\left(\frac{1}{36}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{243}\right)^{-\frac{1}{5}}$
$\left(-\frac{1}{32}\right)^{-\frac{1}{5}}$
$\left(-\frac{1}{27}\right)^{-\frac{1}{3}}$

$27^{\frac{4}{3}}$
$243^{\frac{4}{5}}$
$\left(-729\right)^{\frac{2}{3}}$
$\left(-64\right)^{\frac{2}{3}}$

$27^{-\frac{2}{3}}$
$64^{-\frac{5}{6}}$
$\left(-243\right)^{-\frac{3}{5}}$
$\left(-512\right)^{-\frac{2}{3}}$

$\left(\frac{1}{243}\right)^{\frac{2}{5}}$
$\left(\frac{1}{16}\right)^{\frac{5}{4}}$
$\left(-\frac{1}{243}\right)^{\frac{2}{5}}$
$\left(-\frac{1}{125}\right)^{\frac{2}{3}}$

$\left(\frac{1}{81}\right)^{-\frac{3}{4}}$
$\left(\frac{1}{256}\right)^{-\frac{3}{4}}$
$\left(-\frac{1}{243}\right)^{-\frac{4}{5}}$
$\left(-\frac{1}{125}\right)^{-\frac{4}{3}}$

$\left(\frac{64}{27}\right)^{\frac{4}{3}}$
$\left(\frac{125}{64}\right)^{\frac{4}{3}}$
$\left(-\frac{729}{1000}\right)^{\frac{2}{3}}$
$\left(-\frac{729}{64}\right)^{\frac{2}{3}}$

$\left(\frac{256}{81}\right)^{-\frac{3}{4}}$
$\left(\frac{8}{27}\right)^{-\frac{4}{3}}$
$\left(-\frac{125}{8}\right)^{-\frac{4}{3}}$
$\left(-\frac{64}{27}\right)^{-\frac{2}{3}}$