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(28A) Rational Exponents

Evaluate. Give your answers as fractions.

$\left(-\frac{27}{125}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{27}\right)^{\frac{5}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{1}{3}}$
$16^{\frac{1}{4}}$

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

$\left(\frac{1}{81}\right)^{\frac{1}{2}}$
$\left(-512\right)^{\frac{1}{3}}$
$\left(-32\right)^{\frac{4}{5}}$
$\left(\frac{8}{125}\right)^{\frac{2}{3}}$

$\left(\frac{243}{32}\right)^{\frac{4}{5}}$
$216^{\frac{2}{3}}$
$27^{-\frac{5}{3}}$
$\left(-1000\right)^{-\frac{1}{3}}$

$\left(\frac{1}{64}\right)^{-\frac{1}{3}}$
$\left(\frac{1}{49}\right)^{-\frac{1}{2}}$
$\left(-32\right)^{-\frac{2}{5}}$
$\left(\frac{1}{81}\right)^{-\frac{5}{4}}$

$\left(\frac{8}{729}\right)^{-\frac{2}{3}}$
$1000^{-\frac{2}{3}}$
$\left(\frac{1}{512}\right)^{\frac{2}{3}}$
$\left(-\frac{125}{216}\right)^{\frac{2}{3}}$

$\left(-\frac{27}{1000}\right)^{\frac{2}{3}}$
$\left(\frac{1}{343}\right)^{\frac{1}{3}}$
$\left(-32\right)^{-\frac{4}{5}}$
$\left(-\frac{1}{27}\right)^{-\frac{5}{3}}$

$\left(-\frac{729}{8}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{4}{3}}$
$16^{\frac{3}{4}}$
$\left(-\frac{1}{216}\right)^{-\frac{1}{3}}$

$16^{\frac{1}{2}}$
$\left(\frac{1}{343}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{1000}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{4}{3}}$

$\left(\frac{512}{729}\right)^{-\frac{2}{3}}$
$36^{-\frac{1}{2}}$
$\left(\frac{1}{1000}\right)^{-\frac{2}{3}}$
$\left(-64\right)^{-\frac{1}{3}}$