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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{1000}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{27}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{27}{8}\right)^{-\frac{1}{3}}=$

$\left(\frac{729}{64}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{729}\right)^{-\frac{1}{3}}=$
$\left(\frac{343}{8}\right)^{-\frac{1}{3}}=$

$\left(\frac{81}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{729}\right)^{-\frac{2}{3}}=$

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

$\left(\frac{1}{32}\right)^{\frac{1}{5}}=$
$\left(\frac{343}{1000}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{25}\right)^{\frac{1}{2}}=$

$\left(\frac{729}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{512}{343}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{81}\right)^{\frac{1}{2}}=$

$\left(\frac{1}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{25}{16}\right)^{-\frac{1}{2}}=$
$\left(\frac{25}{36}\right)^{\frac{1}{2}}=$