itomath.com

(28A) Rational Exponents

Evaluate. Give your answers as fractions.

$\left(-64\right)^{-\frac{1}{3}}$
$\left(\frac{1}{4}\right)^{-\frac{1}{2}}$
$125^{-\frac{2}{3}}$
$\left(-\frac{1}{343}\right)^{-\frac{1}{3}}$

$\left(-\frac{1}{64}\right)^{\frac{1}{3}}$
$\left(-27\right)^{-\frac{5}{3}}$
$\left(-8\right)^{\frac{2}{3}}$
$\left(\frac{27}{64}\right)^{\frac{4}{3}}$

$\left(\frac{343}{512}\right)^{-\frac{2}{3}}$
$\left(-27\right)^{\frac{2}{3}}$
$\left(\frac{1}{512}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{729}\right)^{\frac{1}{3}}$

$\left(\frac{1}{64}\right)^{\frac{2}{3}}$
$512^{-\frac{2}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{8}\right)^{-\frac{5}{3}}$

$16^{-\frac{1}{2}}$
$\left(-\frac{243}{32}\right)^{\frac{2}{5}}$
$\left(-343\right)^{-\frac{2}{3}}$
$64^{\frac{5}{6}}$

$\left(-\frac{125}{729}\right)^{-\frac{2}{3}}$
$512^{-\frac{1}{3}}$
$\left(-\frac{1}{8}\right)^{\frac{4}{3}}$
$\left(-\frac{125}{64}\right)^{-\frac{2}{3}}$

$\left(-\frac{729}{1000}\right)^{\frac{2}{3}}$
$\left(-\frac{1}{216}\right)^{\frac{1}{3}}$
$\left(-27\right)^{\frac{1}{3}}$
$1^{\frac{1}{2}}$

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

$\left(\frac{1}{8}\right)^{\frac{4}{3}}$
$\left(-\frac{1}{27}\right)^{-\frac{1}{3}}$
$\left(-216\right)^{\frac{1}{3}}$
$\left(\frac{1}{9}\right)^{-\frac{1}{2}}$

$\left(\frac{1}{16}\right)^{\frac{1}{2}}$
$\left(\frac{729}{1000}\right)^{\frac{2}{3}}$
$\left(\frac{343}{64}\right)^{-\frac{2}{3}}$
$\left(-\frac{1}{32}\right)^{\frac{2}{5}}$