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Rational Exponents

Evaluate. Give your answers as fractions.

$216^{\frac{1}{3}}$
$81^{\frac{1}{2}}$
$343^{\frac{1}{3}}$
$64^{\frac{1}{2}}$

$\left(-512\right)^{\frac{1}{3}}$
$\left(-343\right)^{\frac{1}{3}}$
$\left(-32\right)^{\frac{1}{5}}$
$\left(-27\right)^{\frac{1}{3}}$

$64^{-\frac{1}{6}}$
$100^{-\frac{1}{2}}$
$32^{-\frac{1}{5}}$
$144^{-\frac{1}{2}}$

$\left(-216\right)^{-\frac{1}{3}}$
$\left(-8\right)^{-\frac{1}{3}}$
$\left(-1000\right)^{-\frac{1}{3}}$
$\left(-27\right)^{-\frac{1}{3}}$