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(28A) Rational Exponents

Evaluate. Give your answers as fractions.

$\left(-8\right)^{-\frac{2}{3}}$
$\left(-343\right)^{\frac{1}{3}}$
$\left(-\frac{512}{343}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{32}\right)^{\frac{3}{5}}$

$\left(\frac{27}{64}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{32}\right)^{-\frac{1}{5}}$
$\left(-\frac{1}{27}\right)^{\frac{2}{3}}$
$\left(-8\right)^{-\frac{1}{3}}$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}$
$81^{-\frac{1}{2}}$
$\left(-32\right)^{\frac{3}{5}}$
$\left(\frac{1}{36}\right)^{-\frac{1}{2}}$

$\left(-125\right)^{\frac{1}{3}}$
$\left(\frac{1}{8}\right)^{-\frac{4}{3}}$
$\left(-\frac{27}{8}\right)^{\frac{4}{3}}$
$343^{\frac{2}{3}}$

$\left(-\frac{243}{32}\right)^{\frac{4}{5}}$
$\left(\frac{1}{27}\right)^{\frac{1}{3}}$
$343^{\frac{1}{3}}$
$\left(-32\right)^{\frac{2}{5}}$

$\left(-\frac{1}{512}\right)^{-\frac{2}{3}}$
$\left(\frac{125}{64}\right)^{-\frac{2}{3}}$
$27^{\frac{5}{3}}$
$\left(-64\right)^{-\frac{2}{3}}$

$\left(-729\right)^{-\frac{1}{3}}$
$\left(\frac{8}{125}\right)^{\frac{4}{3}}$
$9^{-\frac{1}{2}}$
$\left(\frac{343}{216}\right)^{-\frac{2}{3}}$

$\left(-\frac{1}{27}\right)^{-\frac{2}{3}}$
$\left(-\frac{27}{343}\right)^{-\frac{2}{3}}$
$64^{-\frac{5}{6}}$
$\left(-\frac{1}{8}\right)^{\frac{5}{3}}$

$\left(-\frac{1}{216}\right)^{\frac{1}{3}}$
$\left(\frac{1}{25}\right)^{-\frac{1}{2}}$
$\left(\frac{1}{8}\right)^{-\frac{2}{3}}$
$216^{\frac{1}{3}}$

$\left(-\frac{1}{1000}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{32}\right)^{\frac{1}{5}}$
$343^{-\frac{2}{3}}$
$\left(\frac{1}{8}\right)^{\frac{4}{3}}$