itomath.com

Rational Exponents

Evaluate. Give your answers as fractions.

$121^{\frac{1}{2}}$
$9^{\frac{1}{2}}$
$\left(-729\right)^{\frac{1}{3}}$
$\left(-32\right)^{\frac{1}{5}}$

$121^{-\frac{1}{2}}$
$144^{-\frac{1}{2}}$
$\left(-729\right)^{-\frac{1}{3}}$
$\left(-125\right)^{-\frac{1}{3}}$

$\left(\frac{1}{81}\right)^{\frac{1}{4}}$
$\left(\frac{1}{64}\right)^{\frac{1}{2}}$
$\left(-\frac{1}{64}\right)^{\frac{1}{3}}$
$\left(-\frac{1}{125}\right)^{\frac{1}{3}}$

$\left(\frac{1}{343}\right)^{-\frac{1}{3}}$
$\left(\frac{1}{36}\right)^{-\frac{1}{2}}$
$\left(-\frac{1}{216}\right)^{-\frac{1}{3}}$
$\left(-\frac{1}{343}\right)^{-\frac{1}{3}}$

$32^{\frac{2}{5}}$
$27^{\frac{2}{3}}$
$\left(-512\right)^{\frac{2}{3}}$
$\left(-64\right)^{\frac{2}{3}}$

$216^{-\frac{2}{3}}$
$1000^{-\frac{2}{3}}$
$\left(-8\right)^{-\frac{4}{3}}$
$\left(-32\right)^{-\frac{4}{5}}$

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

$\left(\frac{1}{125}\right)^{-\frac{2}{3}}$
$\left(\frac{1}{32}\right)^{-\frac{2}{5}}$
$\left(-\frac{1}{27}\right)^{-\frac{4}{3}}$
$\left(-\frac{1}{8}\right)^{-\frac{2}{3}}$

$\left(\frac{1000}{27}\right)^{\frac{2}{3}}$
$\left(\frac{512}{27}\right)^{\frac{2}{3}}$
$\left(-\frac{27}{64}\right)^{\frac{2}{3}}$
$\left(-\frac{125}{8}\right)^{\frac{2}{3}}$

$\left(\frac{343}{1000}\right)^{-\frac{2}{3}}$
$\left(\frac{8}{343}\right)^{-\frac{2}{3}}$
$\left(-\frac{1000}{343}\right)^{-\frac{2}{3}}$
$\left(-\frac{1000}{729}\right)^{-\frac{2}{3}}$