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(28A) Rational Exponents

Evaluate. Give your answers as fractions.

$64^{-\frac{2}{3}}$
$\left(-\frac{343}{216}\right)^{\frac{2}{3}}$
$\left(-\frac{343}{125}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{343}\right)^{\frac{1}{3}}$

$\left(\frac{64}{343}\right)^{\frac{2}{3}}$
$\left(\frac{64}{125}\right)^{\frac{2}{3}}$
$\left(-\frac{343}{512}\right)^{-\frac{2}{3}}$
$125^{-\frac{1}{3}}$

$\left(\frac{1}{343}\right)^{\frac{2}{3}}$
$\left(-32\right)^{\frac{1}{5}}$
$\left(-\frac{1}{32}\right)^{-\frac{3}{5}}$
$32^{\frac{4}{5}}$

$\left(-125\right)^{-\frac{2}{3}}$
$16^{-\frac{3}{4}}$
$\left(\frac{1}{32}\right)^{\frac{1}{5}}$
$\left(\frac{1}{64}\right)^{-\frac{2}{3}}$

$\left(-\frac{1}{1000}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{-\frac{2}{5}}$
$\left(\frac{1}{8}\right)^{-\frac{5}{3}}$
$\left(-32\right)^{-\frac{1}{5}}$

$\left(\frac{729}{125}\right)^{-\frac{2}{3}}$
$32^{\frac{1}{5}}$
$\left(\frac{1}{64}\right)^{\frac{2}{3}}$
$32^{-\frac{1}{5}}$

$\left(-\frac{1}{8}\right)^{\frac{5}{3}}$
$\left(-\frac{1}{512}\right)^{\frac{1}{3}}$
$\left(\frac{1}{25}\right)^{-\frac{1}{2}}$
$\left(-\frac{1}{32}\right)^{\frac{3}{5}}$

$\left(-8\right)^{\frac{2}{3}}$
$\left(-\frac{1}{729}\right)^{-\frac{1}{3}}$
$\left(-\frac{27}{8}\right)^{-\frac{2}{3}}$
$\left(-32\right)^{\frac{3}{5}}$

$\left(-27\right)^{\frac{1}{3}}$
$\left(-27\right)^{-\frac{1}{3}}$
$1000^{\frac{1}{3}}$
$\left(\frac{1000}{27}\right)^{-\frac{2}{3}}$

$\left(-32\right)^{-\frac{4}{5}}$
$\left(\frac{1}{64}\right)^{-\frac{1}{6}}$
$\left(\frac{1}{9}\right)^{\frac{1}{2}}$
$27^{\frac{4}{3}}$