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Rational Exponents

Evaluate. Give your answers as fractions.

$512^{\frac{1}{3}}$
$125^{\frac{1}{3}}$
$64^{\frac{1}{3}}$
$32^{\frac{1}{5}}$

$\left(-512\right)^{\frac{1}{3}}$
$\left(-8\right)^{\frac{1}{3}}$
$\left(-125\right)^{\frac{1}{3}}$
$\left(-343\right)^{\frac{1}{3}}$

$8^{-\frac{1}{3}}$
$125^{-\frac{1}{3}}$
$121^{-\frac{1}{2}}$
$16^{-\frac{1}{4}}$

$\left(-125\right)^{-\frac{1}{3}}$
$\left(-1000\right)^{-\frac{1}{3}}$
$\left(-216\right)^{-\frac{1}{3}}$
$\left(-512\right)^{-\frac{1}{3}}$