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Rational Exponents

Evaluate. Give your answers as fractions.

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

$100^{-\frac{1}{2}}$
$36^{-\frac{1}{2}}$
$\left(-343\right)^{-\frac{1}{3}}$
$\left(-216\right)^{-\frac{1}{3}}$

$\left(\frac{1}{121}\right)^{\frac{1}{2}}$
$\left(\frac{1}{64}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{64}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{343}\right)^{\frac{1}{3}}$

$\left(\frac{1}{343}\right)^{-\frac{1}{3}}$
$\left(\frac{1}{1}\right)^{-\frac{1}{2}}$
$\left(-\frac{1}{125}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{216}\right)^{-\frac{1}{3}}$

$729^{\frac{2}{3}}$
$216^{\frac{2}{3}}$
$\left(-32\right)^{\frac{3}{5}}$
$\left(-8\right)^{\frac{2}{3}}$

$512^{-\frac{2}{3}}$
$8^{-\frac{4}{3}}$
$\left(-27\right)^{-\frac{2}{3}}$
$\left(-32\right)^{-\frac{3}{5}}$

$\left(\frac{1}{8}\right)^{\frac{2}{3}}$
$\left(\frac{1}{32}\right)^{\frac{4}{5}}$
$\left(-\frac{1}{125}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{\frac{5}{3}}$

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

$\left(\frac{512}{125}\right)^{\frac{2}{3}}$
$\left(\frac{8}{27}\right)^{\frac{4}{3}}$
$\left(-\frac{27}{1000}\right)^{\frac{2}{3}}$
$\left(-\frac{32}{243}\right)^{\frac{3}{5}}$

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