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Rational Exponents

Evaluate. Give your answers as fractions.

$1000^{\frac{1}{3}}$
$16^{\frac{1}{2}}$
$\left(-27\right)^{\frac{1}{3}}$
$\left(-243\right)^{\frac{1}{5}}$

$729^{-\frac{1}{3}}$
$64^{-\frac{1}{2}}$
$\left(-243\right)^{-\frac{1}{5}}$
$\left(-729\right)^{-\frac{1}{3}}$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}$
$\left(\frac{1}{216}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{512}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{243}\right)^{\frac{1}{5}}$

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

$125^{\frac{4}{3}}$
$216^{\frac{2}{3}}$
$\left(-125\right)^{\frac{4}{3}}$
$\left(-32\right)^{\frac{2}{5}}$

$16^{-\frac{5}{4}}$
$512^{-\frac{2}{3}}$
$\left(-8\right)^{-\frac{4}{3}}$
$\left(-243\right)^{-\frac{4}{5}}$

$\left(\frac{1}{256}\right)^{\frac{3}{4}}$
$\left(\frac{1}{64}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{4}{3}}$

$\left(\frac{1}{243}\right)^{-\frac{2}{5}}$
$\left(\frac{1}{16}\right)^{-\frac{5}{4}}$
$\left(-\frac{1}{216}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{2}{3}}$

$\left(\frac{125}{8}\right)^{\frac{4}{3}}$
$\left(\frac{125}{729}\right)^{\frac{2}{3}}$
$\left(-\frac{27}{64}\right)^{\frac{2}{3}}$
$\left(-\frac{216}{125}\right)^{\frac{2}{3}}$

$\left(\frac{27}{8}\right)^{-\frac{2}{3}}$
$\left(\frac{125}{343}\right)^{-\frac{2}{3}}$
$\left(-\frac{64}{343}\right)^{-\frac{2}{3}}$
$\left(-\frac{27}{512}\right)^{-\frac{2}{3}}$