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Rational Exponents

Evaluate. Give your answers as fractions.

$100^{\frac{1}{2}}$
$36^{\frac{1}{2}}$
$\left(-1000\right)^{\frac{1}{3}}$
$\left(-32\right)^{\frac{1}{5}}$

$125^{-\frac{1}{3}}$
$343^{-\frac{1}{3}}$
$\left(-512\right)^{-\frac{1}{3}}$
$\left(-8\right)^{-\frac{1}{3}}$

$\left(\frac{1}{64}\right)^{\frac{1}{3}}$
$\left(\frac{1}{81}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{729}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{1000}\right)^{\frac{1}{3}}$

$\left(\frac{1}{9}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{8}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{1000}\right)^{-\frac{1}{3}}$

$81^{\frac{5}{4}}$
$125^{\frac{2}{3}}$
$\left(-32\right)^{\frac{2}{5}}$
$\left(-1000\right)^{\frac{2}{3}}$

$16^{-\frac{3}{4}}$
$32^{-\frac{3}{5}}$
$\left(-729\right)^{-\frac{2}{3}}$
$\left(-27\right)^{-\frac{4}{3}}$

$\left(\frac{1}{27}\right)^{\frac{5}{3}}$
$\left(\frac{1}{32}\right)^{\frac{4}{5}}$
$\left(-\frac{1}{343}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{216}\right)^{\frac{2}{3}}$

$\left(\frac{1}{64}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{729}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{4}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{4}{3}}$

$\left(\frac{32}{243}\right)^{\frac{2}{5}}$
$\left(\frac{625}{256}\right)^{\frac{3}{4}}$
$\left(-\frac{729}{8}\right)^{\frac{2}{3}}$
$\left(-\frac{125}{64}\right)^{\frac{2}{3}}$

$\left(\frac{16}{81}\right)^{-\frac{5}{4}}$
$\left(\frac{729}{8}\right)^{-\frac{2}{3}}$
$\left(-\frac{1000}{27}\right)^{-\frac{2}{3}}$
$\left(-\frac{27}{8}\right)^{-\frac{2}{3}}$