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Exponent Laws

Practice

Evaluate. Give your answers as fractions.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Evaluate. Give your answers as fractions.

$\left(\frac{49}{100}\right)^{-\frac{1}{2}}=$
$\left(\frac{64}{125}\right)^{-\frac{2}{3}}=$
$\left(\frac{1}{512}\right)^{\frac{1}{3}}=$

$\left(\frac{49}{36}\right)^{-\frac{1}{2}}=$
$\left(\frac{512}{27}\right)^{\frac{1}{3}}=$
$\left(\frac{729}{64}\right)^{\frac{2}{3}}=$

$\left(\frac{343}{512}\right)^{\frac{2}{3}}=$
$\left(\frac{1}{27}\right)^{-\frac{1}{3}}=$
$\left(\frac{64}{125}\right)^{-\frac{1}{3}}=$

$\left(\frac{343}{8}\right)^{\frac{2}{3}}=$
$\left(\frac{4}{81}\right)^{-\frac{1}{2}}=$
$\left(\frac{729}{1000}\right)^{\frac{2}{3}}=$

$\left(\frac{16}{25}\right)^{-\frac{1}{2}}=$
$\left(\frac{512}{27}\right)^{-\frac{2}{3}}=$
$\left(\frac{1000}{729}\right)^{-\frac{2}{3}}=$

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

$\left(\frac{16}{81}\right)^{-\frac{3}{4}}=$
$\left(\frac{25}{64}\right)^{\frac{1}{2}}=$
$\left(\frac{8}{343}\right)^{\frac{2}{3}}=$