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Rational Exponents

Evaluate. Give your answers as fractions.

$36^{\frac{1}{2}}$
$216^{\frac{1}{3}}$
$\left(-64\right)^{\frac{1}{3}}$
$\left(-32\right)^{\frac{1}{5}}$

$16^{-\frac{1}{4}}$
$32^{-\frac{1}{5}}$
$\left(-32\right)^{-\frac{1}{5}}$
$\left(-27\right)^{-\frac{1}{3}}$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}$
$\left(\frac{1}{81}\right)^{\frac{1}{4}}$
$\left(-\frac{1}{27}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{512}\right)^{\frac{1}{3}}$

$\left(\frac{1}{8}\right)^{-\frac{1}{3}}$
$\left(\frac{1}{216}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{729}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{343}\right)^{-\frac{1}{3}}$

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

$27^{-\frac{5}{3}}$
$32^{-\frac{2}{5}}$
$\left(-27\right)^{-\frac{4}{3}}$
$\left(-8\right)^{-\frac{2}{3}}$

$\left(\frac{1}{8}\right)^{\frac{2}{3}}$
$\left(\frac{1}{729}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{1000}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{216}\right)^{\frac{2}{3}}$

$\left(\frac{1}{32}\right)^{-\frac{2}{5}}$
$\left(\frac{1}{512}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{5}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{2}{3}}$

$\left(\frac{81}{625}\right)^{\frac{3}{4}}$
$\left(\frac{343}{125}\right)^{\frac{2}{3}}$
$\left(-\frac{64}{27}\right)^{\frac{4}{3}}$
$\left(-\frac{216}{125}\right)^{\frac{2}{3}}$

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