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Rational Exponents

Evaluate. Give your answers as fractions.

$64^{\frac{1}{3}}$
$64^{\frac{1}{6}}$
$16^{\frac{1}{2}}$
$216^{\frac{1}{3}}$

$\left(-216\right)^{\frac{1}{3}}$
$\left(-64\right)^{\frac{1}{3}}$
$\left(-8\right)^{\frac{1}{3}}$
$\left(-1000\right)^{\frac{1}{3}}$

$16^{-\frac{1}{4}}$
$64^{-\frac{1}{2}}$
$512^{-\frac{1}{3}}$
$49^{-\frac{1}{2}}$

$\left(-729\right)^{-\frac{1}{3}}$
$\left(-125\right)^{-\frac{1}{3}}$
$\left(-1000\right)^{-\frac{1}{3}}$
$\left(-64\right)^{-\frac{1}{3}}$