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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

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

$\left(\frac{16}{81}\right)^{\frac{1}{2}}=$
$\left(\frac{9}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{343}{729}\right)^{-\frac{2}{3}}=$

$\left(\frac{1}{9}\right)^{\frac{1}{2}}=$
$\left(\frac{343}{125}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{16}\right)^{\frac{1}{4}}=$

$\left(\frac{25}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{4}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{32}\right)^{\frac{3}{5}}=$

$\left(\frac{343}{8}\right)^{\frac{1}{3}}=$
$\left(\frac{8}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{4}{49}\right)^{\frac{1}{2}}=$

$\left(\frac{16}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{1}{32}\right)^{\frac{2}{5}}=$
$\left(\frac{1}{125}\right)^{-\frac{2}{3}}=$

$\left(\frac{343}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{64}{9}\right)^{-\frac{1}{2}}=$
$\left(\frac{4}{9}\right)^{-\frac{1}{2}}=$