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Rational Exponents

Evaluate. Give your answers as fractions.

$27^{\frac{1}{3}}$
$36^{\frac{1}{2}}$
$\left(-216\right)^{\frac{1}{3}}$
$\left(-1000\right)^{\frac{1}{3}}$

$49^{-\frac{1}{2}}$
$144^{-\frac{1}{2}}$
$\left(-64\right)^{-\frac{1}{3}}$
$\left(-8\right)^{-\frac{1}{3}}$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}$
$\left(\frac{1}{8}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{64}\right)^{\frac{1}{3}}$

$\left(\frac{1}{81}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{1}\right)^{-\frac{1}{2}}$
$\left(-\frac{1}{216}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{1}{3}}$

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

$1000^{-\frac{2}{3}}$
$125^{-\frac{2}{3}}$
$\left(-216\right)^{-\frac{2}{3}}$
$\left(-32\right)^{-\frac{4}{5}}$

$\left(\frac{1}{81}\right)^{\frac{3}{4}}$
$\left(\frac{1}{8}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{216}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{64}\right)^{\frac{2}{3}}$

$\left(\frac{1}{343}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{64}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{4}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{2}{3}}$

$\left(\frac{243}{32}\right)^{\frac{4}{5}}$
$\left(\frac{27}{64}\right)^{\frac{2}{3}}$
$\left(-\frac{1000}{27}\right)^{\frac{2}{3}}$
$\left(-\frac{1000}{729}\right)^{\frac{2}{3}}$

$\left(\frac{16}{81}\right)^{-\frac{3}{4}}$
$\left(\frac{125}{729}\right)^{-\frac{2}{3}}$
$\left(-\frac{343}{216}\right)^{-\frac{2}{3}}$
$\left(-\frac{343}{729}\right)^{-\frac{2}{3}}$