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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

$243^{\frac{1}{5}}$

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

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

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

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

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

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

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

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

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

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

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

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

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

$243^{-\frac{1}{5}}$

Evaluate. Give your answers as fractions.

$\left(\frac{64}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{81}\right)^{-\frac{1}{4}}=$
$\left(\frac{1}{8}\right)^{-\frac{2}{3}}=$

$\left(\frac{729}{64}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{216}\right)^{-\frac{2}{3}}=$
$\left(\frac{27}{512}\right)^{\frac{1}{3}}=$

$\left(\frac{729}{1000}\right)^{\frac{1}{3}}=$
$\left(\frac{49}{4}\right)^{-\frac{1}{2}}=$
$\left(\frac{4}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{1}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{9}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{216}{125}\right)^{-\frac{2}{3}}=$

$\left(\frac{729}{125}\right)^{\frac{1}{3}}=$
$\left(\frac{27}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{8}\right)^{-\frac{1}{3}}=$

$\left(\frac{64}{343}\right)^{\frac{1}{3}}=$
$\left(\frac{343}{216}\right)^{-\frac{1}{3}}=$
$\left(\frac{512}{27}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{64}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{216}\right)^{-\frac{2}{3}}=$