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Rational Exponents

Evaluate. Give your answers as fractions.

$27^{\frac{1}{3}}$
$49^{\frac{1}{2}}$
$125^{\frac{1}{3}}$
$81^{\frac{1}{2}}$

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

$32^{-\frac{1}{5}}$
$729^{-\frac{1}{3}}$
$49^{-\frac{1}{2}}$
$512^{-\frac{1}{3}}$

$\left(-729\right)^{-\frac{1}{3}}$
$\left(-1000\right)^{-\frac{1}{3}}$
$\left(-8\right)^{-\frac{1}{3}}$
$\left(-512\right)^{-\frac{1}{3}}$