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Rational Exponents

Evaluate. Give your answers as fractions.

$64^{\frac{1}{3}}$
$81^{\frac{1}{2}}$
$\left(-729\right)^{\frac{1}{3}}$
$\left(-8\right)^{\frac{1}{3}}$

$100^{-\frac{1}{2}}$
$32^{-\frac{1}{5}}$
$\left(-64\right)^{-\frac{1}{3}}$
$\left(-125\right)^{-\frac{1}{3}}$

$\left(\frac{1}{512}\right)^{\frac{1}{3}}$
$\left(\frac{1}{16}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{343}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{64}\right)^{\frac{1}{3}}$

$\left(\frac{1}{4}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{27}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{125}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{1}{3}}$

$81^{\frac{3}{4}}$
$64^{\frac{5}{6}}$
$\left(-32\right)^{\frac{2}{5}}$
$\left(-8\right)^{\frac{4}{3}}$

$32^{-\frac{3}{5}}$
$64^{-\frac{5}{6}}$
$\left(-343\right)^{-\frac{2}{3}}$
$\left(-729\right)^{-\frac{2}{3}}$

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

$\left(\frac{1}{8}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{32}\right)^{-\frac{4}{5}}$
$\left(-\frac{1}{125}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{2}{3}}$

$\left(\frac{81}{16}\right)^{\frac{3}{4}}$
$\left(\frac{64}{125}\right)^{\frac{2}{3}}$
$\left(-\frac{343}{1000}\right)^{\frac{2}{3}}$
$\left(-\frac{8}{125}\right)^{\frac{2}{3}}$

$\left(\frac{8}{27}\right)^{-\frac{5}{3}}$
$\left(\frac{512}{125}\right)^{-\frac{2}{3}}$
$\left(-\frac{343}{64}\right)^{-\frac{2}{3}}$
$\left(-\frac{343}{125}\right)^{-\frac{2}{3}}$