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Rational Exponents Part 2

Evaluate. Give your answers as fractions.

$125^{\frac{2}{3}}$
$729^{\frac{2}{3}}$
$32^{\frac{2}{5}}$
$32^{\frac{3}{5}}$

$\left(-1000\right)^{\frac{2}{3}}$
$\left(-343\right)^{\frac{2}{3}}$
$\left(-27\right)^{\frac{5}{3}}$
$\left(-512\right)^{\frac{2}{3}}$

$32^{-\frac{3}{5}}$
$64^{-\frac{5}{6}}$
$8^{-\frac{4}{3}}$
$729^{-\frac{2}{3}}$

$\left(-729\right)^{-\frac{2}{3}}$
$\left(-27\right)^{-\frac{2}{3}}$
$\left(-343\right)^{-\frac{2}{3}}$
$\left(-216\right)^{-\frac{2}{3}}$