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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{81}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{125}{216}\right)^{-\frac{2}{3}}=$
$\left(\frac{25}{81}\right)^{\frac{1}{2}}=$

$\left(\frac{1}{4}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{125}{512}\right)^{-\frac{2}{3}}=$

$\left(\frac{343}{216}\right)^{-\frac{1}{3}}=$
$\left(\frac{27}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{64}{729}\right)^{\frac{2}{3}}=$

$\left(\frac{49}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{64}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{729}{1000}\right)^{\frac{2}{3}}=$

$\left(\frac{81}{16}\right)^{\frac{3}{4}}=$
$\left(\frac{36}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{64}\right)^{\frac{2}{3}}=$

$\left(\frac{1000}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{4}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{27}\right)^{\frac{1}{3}}=$

$\left(\frac{1}{81}\right)^{\frac{1}{4}}=$
$\left(\frac{343}{216}\right)^{-\frac{2}{3}}=$
$\left(\frac{49}{4}\right)^{-\frac{1}{2}}=$