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Rational Exponents

Evaluate. Give your answers as fractions.

$1000^{\frac{1}{3}}$
$4^{\frac{1}{2}}$
$100^{\frac{1}{2}}$
$81^{\frac{1}{2}}$

$\left(-729\right)^{\frac{1}{3}}$
$\left(-512\right)^{\frac{1}{3}}$
$\left(-8\right)^{\frac{1}{3}}$
$\left(-343\right)^{\frac{1}{3}}$

$81^{-\frac{1}{4}}$
$25^{-\frac{1}{2}}$
$16^{-\frac{1}{4}}$
$64^{-\frac{1}{3}}$

$\left(-1000\right)^{-\frac{1}{3}}$
$\left(-343\right)^{-\frac{1}{3}}$
$\left(-32\right)^{-\frac{1}{5}}$
$\left(-125\right)^{-\frac{1}{3}}$