itomath.com

Exponent Laws

Practice

Evaluate. Give your answers as fractions.

$9^{-\frac{1}{2}}$

$4^{-\frac{1}{2}}$

$64^{-\frac{1}{3}}$

$27^{\frac{1}{3}}$

$125^{-\frac{1}{3}}$

$36^{\frac{1}{2}}$

$216^{\frac{1}{3}}$

$49^{\frac{1}{2}}$

$1000^{\frac{1}{3}}$

$512^{\frac{1}{3}}$

$16^{-\frac{1}{4}}$

$25^{\frac{1}{2}}$

$27^{-\frac{1}{3}}$

$16^{\frac{1}{2}}$

$81^{\frac{1}{2}}$

$729^{\frac{1}{3}}$

$343^{-\frac{1}{3}}$

$32^{\frac{1}{5}}$

$216^{-\frac{1}{3}}$

$64^{-\frac{1}{6}}$

$81^{-\frac{1}{2}}$

$25^{-\frac{1}{2}}$

$36^{-\frac{1}{2}}$

$9^{\frac{1}{2}}$

Evaluate. Give your answers as fractions.

$\left(\frac{216}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{8}{729}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{27}\right)^{\frac{1}{3}}=$

$\left(\frac{729}{1000}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{9}\right)^{-\frac{1}{2}}=$

$\left(\frac{16}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{27}{64}\right)^{\frac{1}{3}}=$
$\left(\frac{8}{343}\right)^{\frac{2}{3}}=$

$\left(\frac{25}{4}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{64}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{27}\right)^{\frac{1}{3}}=$

$\left(\frac{81}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{9}{64}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{343}\right)^{-\frac{1}{3}}=$

$\left(\frac{27}{512}\right)^{-\frac{1}{3}}=$
$\left(\frac{343}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{8}\right)^{-\frac{2}{3}}=$

$\left(\frac{1}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{32}\right)^{-\frac{2}{5}}=$
$\left(\frac{729}{343}\right)^{-\frac{2}{3}}=$