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Rational Exponents

Evaluate. Give your answers as fractions.

$100^{\frac{1}{2}}$
$216^{\frac{1}{3}}$
$25^{\frac{1}{2}}$
$729^{\frac{1}{3}}$

$\left(-125\right)^{\frac{1}{3}}$
$\left(-27\right)^{\frac{1}{3}}$
$\left(-1000\right)^{\frac{1}{3}}$
$\left(-32\right)^{\frac{1}{5}}$

$512^{-\frac{1}{3}}$
$64^{-\frac{1}{2}}$
$144^{-\frac{1}{2}}$
$36^{-\frac{1}{2}}$

$\left(-1000\right)^{-\frac{1}{3}}$
$\left(-8\right)^{-\frac{1}{3}}$
$\left(-64\right)^{-\frac{1}{3}}$
$\left(-343\right)^{-\frac{1}{3}}$