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Rational Exponents

Evaluate. Give your answers as fractions.

$1^{\frac{1}{2}}$
$32^{\frac{1}{5}}$
$\left(-8\right)^{\frac{1}{3}}$
$\left(-64\right)^{\frac{1}{3}}$

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

$\left(\frac{1}{1000}\right)^{\frac{1}{3}}$
$\left(\frac{1}{144}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{343}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{512}\right)^{\frac{1}{3}}$

$\left(\frac{1}{144}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{9}\right)^{-\frac{1}{2}}$
$\left(-\frac{1}{216}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{1}{3}}$

$729^{\frac{2}{3}}$
$32^{\frac{2}{5}}$
$\left(-32\right)^{\frac{3}{5}}$
$\left(-8\right)^{\frac{4}{3}}$

$27^{-\frac{4}{3}}$
$343^{-\frac{2}{3}}$
$\left(-1000\right)^{-\frac{2}{3}}$
$\left(-512\right)^{-\frac{2}{3}}$

$\left(\frac{1}{729}\right)^{\frac{2}{3}}$
$\left(\frac{1}{32}\right)^{\frac{2}{5}}$
$\left(-\frac{1}{27}\right)^{\frac{5}{3}}$
$\left(-\frac{1}{729}\right)^{\frac{2}{3}}$

$\left(\frac{1}{16}\right)^{-\frac{3}{4}}$
$\left(\frac{1}{1000}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{5}{3}}$
$\left(-\frac{1}{125}\right)^{-\frac{2}{3}}$

$\left(\frac{8}{125}\right)^{\frac{4}{3}}$
$\left(\frac{729}{8}\right)^{\frac{2}{3}}$
$\left(-\frac{125}{8}\right)^{\frac{2}{3}}$
$\left(-\frac{125}{216}\right)^{\frac{2}{3}}$

$\left(\frac{81}{16}\right)^{-\frac{5}{4}}$
$\left(\frac{16}{81}\right)^{-\frac{3}{4}}$
$\left(-\frac{343}{729}\right)^{-\frac{2}{3}}$
$\left(-\frac{64}{729}\right)^{-\frac{2}{3}}$