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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{9}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{512}\right)^{\frac{1}{3}}=$
$\left(\frac{49}{16}\right)^{-\frac{1}{2}}=$

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

$\left(\frac{729}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{4}{25}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{8}\right)^{-\frac{1}{3}}=$

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

$\left(\frac{343}{1000}\right)^{\frac{1}{3}}=$
$\left(\frac{8}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{125}{729}\right)^{-\frac{2}{3}}=$

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

$\left(\frac{729}{343}\right)^{-\frac{2}{3}}=$
$\left(\frac{9}{4}\right)^{\frac{1}{2}}=$
$\left(\frac{27}{343}\right)^{-\frac{1}{3}}=$