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Rational Exponents

Evaluate. Give your answers as fractions.

$64^{\frac{1}{6}}$
$1^{\frac{1}{2}}$
$\left(-1000\right)^{\frac{1}{3}}$
$\left(-27\right)^{\frac{1}{3}}$

$216^{-\frac{1}{3}}$
$729^{-\frac{1}{3}}$
$\left(-27\right)^{-\frac{1}{3}}$
$\left(-1000\right)^{-\frac{1}{3}}$

$\left(\frac{1}{64}\right)^{\frac{1}{6}}$
$\left(\frac{1}{343}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{64}\right)^{\frac{1}{3}}$

$\left(\frac{1}{1000}\right)^{-\frac{1}{3}}$
$\left(\frac{1}{81}\right)^{-\frac{1}{2}}$
$\left(-\frac{1}{125}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{-\frac{1}{5}}$

$216^{\frac{2}{3}}$
$16^{\frac{3}{4}}$
$\left(-27\right)^{\frac{4}{3}}$
$\left(-64\right)^{\frac{2}{3}}$

$125^{-\frac{2}{3}}$
$216^{-\frac{2}{3}}$
$\left(-64\right)^{-\frac{2}{3}}$
$\left(-27\right)^{-\frac{5}{3}}$

$\left(\frac{1}{81}\right)^{\frac{5}{4}}$
$\left(\frac{1}{1000}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{\frac{4}{3}}$
$\left(-\frac{1}{729}\right)^{\frac{2}{3}}$

$\left(\frac{1}{81}\right)^{-\frac{5}{4}}$
$\left(\frac{1}{32}\right)^{-\frac{3}{5}}$
$\left(-\frac{1}{729}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{32}\right)^{-\frac{2}{5}}$

$\left(\frac{16}{625}\right)^{\frac{3}{4}}$
$\left(\frac{343}{512}\right)^{\frac{2}{3}}$
$\left(-\frac{729}{343}\right)^{\frac{2}{3}}$
$\left(-\frac{64}{343}\right)^{\frac{2}{3}}$

$\left(\frac{512}{27}\right)^{-\frac{2}{3}}$
$\left(\frac{27}{512}\right)^{-\frac{2}{3}}$
$\left(-\frac{125}{729}\right)^{-\frac{2}{3}}$
$\left(-\frac{125}{64}\right)^{-\frac{2}{3}}$