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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{1}{81}\right)^{-\frac{1}{4}}=$
$\left(\frac{9}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{8}{125}\right)^{\frac{1}{3}}=$

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

$\left(\frac{1}{81}\right)^{-\frac{3}{4}}=$
$\left(\frac{729}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{9}{64}\right)^{-\frac{1}{2}}=$

$\left(\frac{81}{16}\right)^{\frac{1}{4}}=$
$\left(\frac{25}{49}\right)^{-\frac{1}{2}}=$
$\left(\frac{1000}{27}\right)^{-\frac{1}{3}}=$

$\left(\frac{1}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{729}{8}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{216}\right)^{\frac{2}{3}}=$

$\left(\frac{729}{512}\right)^{\frac{1}{3}}=$
$\left(\frac{1}{16}\right)^{\frac{3}{4}}=$
$\left(\frac{27}{1000}\right)^{-\frac{2}{3}}=$

$\left(\frac{81}{100}\right)^{\frac{1}{2}}=$
$\left(\frac{1}{343}\right)^{-\frac{1}{3}}=$
$\left(\frac{1}{32}\right)^{\frac{4}{5}}=$