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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

$256^{-\frac{1}{4}}$

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

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

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

$64^{-\frac{1}{2}}$

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

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

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

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

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

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

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

$8^{-\frac{1}{3}}$

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

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

$81^{\frac{1}{4}}$

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

Evaluate. Give your answers as fractions.

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

$\left(\frac{343}{216}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{64}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{81}\right)^{\frac{1}{4}}=$

$\left(\frac{1000}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{25}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{729}\right)^{\frac{2}{3}}=$

$\left(\frac{81}{4}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{81}\right)^{-\frac{1}{4}}=$
$\left(\frac{729}{125}\right)^{-\frac{2}{3}}=$

$\left(\frac{27}{1000}\right)^{-\frac{2}{3}}=$
$\left(\frac{343}{512}\right)^{-\frac{2}{3}}=$
$\left(\frac{9}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{512}{729}\right)^{-\frac{2}{3}}=$
$\left(\frac{8}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{100}\right)^{\frac{1}{2}}=$

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