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Rational Exponents

Evaluate. Give your answers as fractions.

$16^{\frac{1}{2}}$
$49^{\frac{1}{2}}$
$\left(-8\right)^{\frac{1}{3}}$
$\left(-216\right)^{\frac{1}{3}}$

$9^{-\frac{1}{2}}$
$16^{-\frac{1}{4}}$
$\left(-27\right)^{-\frac{1}{3}}$
$\left(-216\right)^{-\frac{1}{3}}$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}$
$\left(\frac{1}{64}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{32}\right)^{\frac{1}{5}}$
$\left(-\frac{1}{216}\right)^{\frac{1}{3}}$

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

$8^{\frac{2}{3}}$
$216^{\frac{2}{3}}$
$\left(-1000\right)^{\frac{2}{3}}$
$\left(-8\right)^{\frac{4}{3}}$

$32^{-\frac{3}{5}}$
$16^{-\frac{5}{4}}$
$\left(-8\right)^{-\frac{2}{3}}$
$\left(-8\right)^{-\frac{5}{3}}$

$\left(\frac{1}{125}\right)^{\frac{2}{3}}$
$\left(\frac{1}{32}\right)^{\frac{4}{5}}$
$\left(-\frac{1}{27}\right)^{\frac{5}{3}}$
$\left(-\frac{1}{64}\right)^{\frac{2}{3}}$

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

$\left(\frac{625}{256}\right)^{\frac{3}{4}}$
$\left(\frac{27}{8}\right)^{\frac{4}{3}}$
$\left(-\frac{512}{343}\right)^{\frac{2}{3}}$
$\left(-\frac{343}{512}\right)^{\frac{2}{3}}$

$\left(\frac{343}{729}\right)^{-\frac{2}{3}}$
$\left(\frac{125}{27}\right)^{-\frac{2}{3}}$
$\left(-\frac{27}{8}\right)^{-\frac{2}{3}}$
$\left(-\frac{8}{27}\right)^{-\frac{2}{3}}$