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Rational Exponents

Evaluate. Give your answers as fractions.

$729^{\frac{1}{3}}$
$49^{\frac{1}{2}}$
$\left(-27\right)^{\frac{1}{3}}$
$\left(-1000\right)^{\frac{1}{3}}$

$125^{-\frac{1}{3}}$
$343^{-\frac{1}{3}}$
$\left(-729\right)^{-\frac{1}{3}}$
$\left(-27\right)^{-\frac{1}{3}}$

$\left(\frac{1}{64}\right)^{\frac{1}{3}}$
$\left(\frac{1}{144}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{1000}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{\frac{1}{5}}$

$\left(\frac{1}{144}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{32}\right)^{-\frac{1}{5}}$
$\left(-\frac{1}{8}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{729}\right)^{-\frac{1}{3}}$

$16^{\frac{5}{4}}$
$343^{\frac{2}{3}}$
$\left(-32\right)^{\frac{4}{5}}$
$\left(-8\right)^{\frac{2}{3}}$

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

$\left(\frac{1}{27}\right)^{\frac{4}{3}}$
$\left(\frac{1}{1000}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{32}\right)^{\frac{4}{5}}$
$\left(-\frac{1}{8}\right)^{\frac{2}{3}}$

$\left(\frac{1}{16}\right)^{-\frac{5}{4}}$
$\left(\frac{1}{8}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{5}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{4}{3}}$

$\left(\frac{343}{729}\right)^{\frac{2}{3}}$
$\left(\frac{8}{125}\right)^{\frac{4}{3}}$
$\left(-\frac{8}{27}\right)^{\frac{4}{3}}$
$\left(-\frac{343}{1000}\right)^{\frac{2}{3}}$

$\left(\frac{1000}{27}\right)^{-\frac{2}{3}}$
$\left(\frac{512}{343}\right)^{-\frac{2}{3}}$
$\left(-\frac{729}{125}\right)^{-\frac{2}{3}}$
$\left(-\frac{8}{27}\right)^{-\frac{5}{3}}$