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Rational Exponents

Evaluate. Give your answers as fractions.

$1000^{\frac{1}{3}}$
$144^{\frac{1}{2}}$
$\left(-27\right)^{\frac{1}{3}}$
$\left(-125\right)^{\frac{1}{3}}$

$27^{-\frac{1}{3}}$
$81^{-\frac{1}{4}}$
$\left(-64\right)^{-\frac{1}{3}}$
$\left(-125\right)^{-\frac{1}{3}}$

$\left(\frac{1}{36}\right)^{\frac{1}{2}}$
$\left(\frac{1}{27}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{27}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{\frac{1}{5}}$

$\left(\frac{1}{216}\right)^{-\frac{1}{3}}$
$\left(\frac{1}{125}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{216}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{-\frac{1}{5}}$

$16^{\frac{3}{4}}$
$32^{\frac{4}{5}}$
$\left(-27\right)^{\frac{4}{3}}$
$\left(-27\right)^{\frac{2}{3}}$

$729^{-\frac{2}{3}}$
$16^{-\frac{3}{4}}$
$\left(-125\right)^{-\frac{2}{3}}$
$\left(-32\right)^{-\frac{4}{5}}$

$\left(\frac{1}{125}\right)^{\frac{2}{3}}$
$\left(\frac{1}{64}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{\frac{4}{3}}$

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

$\left(\frac{64}{125}\right)^{\frac{2}{3}}$
$\left(\frac{343}{216}\right)^{\frac{2}{3}}$
$\left(-\frac{125}{343}\right)^{\frac{2}{3}}$
$\left(-\frac{512}{729}\right)^{\frac{2}{3}}$

$\left(\frac{125}{343}\right)^{-\frac{2}{3}}$
$\left(\frac{216}{343}\right)^{-\frac{2}{3}}$
$\left(-\frac{343}{512}\right)^{-\frac{2}{3}}$
$\left(-\frac{512}{125}\right)^{-\frac{2}{3}}$