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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{1}{16}\right)^{\frac{1}{4}}=$
$\left(\frac{125}{64}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{8}\right)^{\frac{2}{3}}=$

$\left(\frac{343}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{125}{64}\right)^{\frac{2}{3}}=$
$\left(\frac{125}{27}\right)^{-\frac{2}{3}}=$

$\left(\frac{343}{216}\right)^{\frac{1}{3}}=$
$\left(\frac{729}{1000}\right)^{\frac{1}{3}}=$
$\left(\frac{25}{64}\right)^{-\frac{1}{2}}=$

$\left(\frac{343}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{9}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{16}\right)^{\frac{3}{4}}=$

$\left(\frac{125}{8}\right)^{-\frac{1}{3}}=$
$\left(\frac{64}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{49}{81}\right)^{-\frac{1}{2}}=$

$\left(\frac{27}{64}\right)^{\frac{2}{3}}=$
$\left(\frac{8}{125}\right)^{\frac{2}{3}}=$
$\left(\frac{64}{25}\right)^{-\frac{1}{2}}=$

$\left(\frac{125}{27}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{32}\right)^{\frac{1}{5}}=$
$\left(\frac{8}{343}\right)^{-\frac{1}{3}}=$