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Rational Exponents

Evaluate. Give your answers as fractions.

$27^{\frac{1}{3}}$
$729^{\frac{1}{3}}$
$144^{\frac{1}{2}}$
$49^{\frac{1}{2}}$

$\left(-1000\right)^{\frac{1}{3}}$
$\left(-125\right)^{\frac{1}{3}}$
$\left(-512\right)^{\frac{1}{3}}$
$\left(-32\right)^{\frac{1}{5}}$

$343^{-\frac{1}{3}}$
$16^{-\frac{1}{2}}$
$32^{-\frac{1}{5}}$
$216^{-\frac{1}{3}}$

$\left(-125\right)^{-\frac{1}{3}}$
$\left(-729\right)^{-\frac{1}{3}}$
$\left(-8\right)^{-\frac{1}{3}}$
$\left(-64\right)^{-\frac{1}{3}}$