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Rational Exponents

Evaluate. Give your answers as fractions.

$243^{\frac{1}{5}}$
$100^{\frac{1}{2}}$
$\left(-729\right)^{\frac{1}{3}}$
$\left(-216\right)^{\frac{1}{3}}$

$256^{-\frac{1}{4}}$
$81^{-\frac{1}{4}}$
$\left(-32\right)^{-\frac{1}{5}}$
$\left(-8\right)^{-\frac{1}{3}}$

$\left(\frac{1}{49}\right)^{\frac{1}{2}}$
$\left(\frac{1}{81}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{243}\right)^{\frac{1}{5}}$
$\left(-\frac{1}{8}\right)^{\frac{1}{3}}$

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

$512^{\frac{2}{3}}$
$8^{\frac{4}{3}}$
$\left(-64\right)^{\frac{4}{3}}$
$\left(-8\right)^{\frac{4}{3}}$

$81^{-\frac{5}{4}}$
$32^{-\frac{4}{5}}$
$\left(-125\right)^{-\frac{2}{3}}$
$\left(-243\right)^{-\frac{3}{5}}$

$\left(\frac{1}{243}\right)^{\frac{3}{5}}$
$\left(\frac{1}{64}\right)^{\frac{4}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{1000}\right)^{\frac{2}{3}}$

$\left(\frac{1}{125}\right)^{-\frac{4}{3}}$
$\left(\frac{1}{32}\right)^{-\frac{3}{5}}$
$\left(-\frac{1}{1000}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{32}\right)^{-\frac{3}{5}}$

$\left(\frac{8}{343}\right)^{\frac{2}{3}}$
$\left(\frac{256}{81}\right)^{\frac{3}{4}}$
$\left(-\frac{343}{64}\right)^{\frac{2}{3}}$
$\left(-\frac{216}{125}\right)^{\frac{2}{3}}$

$\left(\frac{343}{8}\right)^{-\frac{2}{3}}$
$\left(\frac{125}{216}\right)^{-\frac{2}{3}}$
$\left(-\frac{243}{32}\right)^{-\frac{4}{5}}$
$\left(-\frac{729}{512}\right)^{-\frac{2}{3}}$