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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$625^{-\frac{1}{4}}$

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

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

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

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

$100^{\frac{1}{2}}$

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{729}{1000}\right)^{-\frac{1}{3}}=$
$\left(\frac{64}{81}\right)^{\frac{1}{2}}=$
$\left(\frac{64}{343}\right)^{-\frac{2}{3}}=$

$\left(\frac{9}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{729}\right)^{\frac{1}{3}}=$
$\left(\frac{4}{49}\right)^{-\frac{1}{2}}=$

$\left(\frac{1}{32}\right)^{-\frac{4}{5}}=$
$\left(\frac{49}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{64}{27}\right)^{-\frac{2}{3}}=$

$\left(\frac{1}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{1000}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{27}{512}\right)^{\frac{2}{3}}=$

$\left(\frac{125}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{512}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{64}\right)^{-\frac{2}{3}}=$

$\left(\frac{25}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{125}\right)^{\frac{2}{3}}=$
$\left(\frac{4}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{8}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{64}{27}\right)^{-\frac{1}{3}}=$